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Simplifying 5(x + -4.4) + 3[3x + -5(x + -8)] = 26 + (8.5 + -7x) + 8x Reorder the terms: 5(-4.4 + x) + 3[3x + -5(x + -8)] = 26 + (8.5 + -7x) + 8x (-4.4 * 5 + x * 5) + 3[3x + -5(x + -8)] = 26 + (8.5 + -7x) + 8x (-22 + 5x) + 3[3x + -5(x + -8)] = 26 + (8.5 + -7x) + 8x Reorder the terms: -22 + 5x + 3[3x + -5(-8 + x)] = 26 + (8.5 + -7x) + 8x -22 + 5x + 3[3x + (-8 * -5 + x * -5)] = 26 + (8.5 + -7x) + 8x -22 + 5x + 3[3x + (40 + -5x)] = 26 + (8.5 + -7x) + 8x Reorder the terms: -22 + 5x + 3[40 + 3x + -5x] = 26 + (8.5 + -7x) + 8x Combine like terms: 3x + -5x = -2x -22 + 5x + 3[40 + -2x] = 26 + (8.5 + -7x) + 8x -22 + 5x + [40 * 3 + -2x * 3] = 26 + (8.5 + -7x) + 8x -22 + 5x + [120 + -6x] = 26 + (8.5 + -7x) + 8x Reorder the terms: -22 + 120 + 5x + -6x = 26 + (8.5 + -7x) + 8x Combine like terms: -22 + 120 = 98 98 + 5x + -6x = 26 + (8.5 + -7x) + 8x Combine like terms: 5x + -6x = -1x 98 + -1x = 26 + (8.5 + -7x) + 8x Remove parenthesis around (8.5 + -7x) 98 + -1x = 26 + 8.5 + -7x + 8x Combine like terms: 26 + 8.5 = 34.5 98 + -1x = 34.5 + -7x + 8x Combine like terms: -7x + 8x = 1x 98 + -1x = 34.5 + 1x Solving 98 + -1x = 34.5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 98 + -1x + -1x = 34.5 + 1x + -1x Combine like terms: -1x + -1x = -2x 98 + -2x = 34.5 + 1x + -1x Combine like terms: 1x + -1x = 0 98 + -2x = 34.5 + 0 98 + -2x = 34.5 Add '-98' to each side of the equation. 98 + -98 + -2x = 34.5 + -98 Combine like terms: 98 + -98 = 0 0 + -2x = 34.5 + -98 -2x = 34.5 + -98 Combine like terms: 34.5 + -98 = -63.5 -2x = -63.5 Divide each side by '-2'. x = 31.75 Simplifying x = 31.75
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