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Simplifying 5(x + -4.4) + 3[3x + -5(x + 8)] = 26 + 2(8.5 + -7x) + 8x Reorder the terms: 5(-4.4 + x) + 3[3x + -5(x + 8)] = 26 + 2(8.5 + -7x) + 8x (-4.4 * 5 + x * 5) + 3[3x + -5(x + 8)] = 26 + 2(8.5 + -7x) + 8x (-22 + 5x) + 3[3x + -5(x + 8)] = 26 + 2(8.5 + -7x) + 8x Reorder the terms: -22 + 5x + 3[3x + -5(8 + x)] = 26 + 2(8.5 + -7x) + 8x -22 + 5x + 3[3x + (8 * -5 + x * -5)] = 26 + 2(8.5 + -7x) + 8x -22 + 5x + 3[3x + (-40 + -5x)] = 26 + 2(8.5 + -7x) + 8x Reorder the terms: -22 + 5x + 3[-40 + 3x + -5x] = 26 + 2(8.5 + -7x) + 8x Combine like terms: 3x + -5x = -2x -22 + 5x + 3[-40 + -2x] = 26 + 2(8.5 + -7x) + 8x -22 + 5x + [-40 * 3 + -2x * 3] = 26 + 2(8.5 + -7x) + 8x -22 + 5x + [-120 + -6x] = 26 + 2(8.5 + -7x) + 8x Reorder the terms: -22 + -120 + 5x + -6x = 26 + 2(8.5 + -7x) + 8x Combine like terms: -22 + -120 = -142 -142 + 5x + -6x = 26 + 2(8.5 + -7x) + 8x Combine like terms: 5x + -6x = -1x -142 + -1x = 26 + 2(8.5 + -7x) + 8x -142 + -1x = 26 + (8.5 * 2 + -7x * 2) + 8x -142 + -1x = 26 + (17 + -14x) + 8x Combine like terms: 26 + 17 = 43 -142 + -1x = 43 + -14x + 8x Combine like terms: -14x + 8x = -6x -142 + -1x = 43 + -6x Solving -142 + -1x = 43 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -142 + -1x + 6x = 43 + -6x + 6x Combine like terms: -1x + 6x = 5x -142 + 5x = 43 + -6x + 6x Combine like terms: -6x + 6x = 0 -142 + 5x = 43 + 0 -142 + 5x = 43 Add '142' to each side of the equation. -142 + 142 + 5x = 43 + 142 Combine like terms: -142 + 142 = 0 0 + 5x = 43 + 142 5x = 43 + 142 Combine like terms: 43 + 142 = 185 5x = 185 Divide each side by '5'. x = 37 Simplifying x = 37
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