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Simplifying 5(x + -3) + 8 = -3 + -3(x + -4) + 4x Reorder the terms: 5(-3 + x) + 8 = -3 + -3(x + -4) + 4x (-3 * 5 + x * 5) + 8 = -3 + -3(x + -4) + 4x (-15 + 5x) + 8 = -3 + -3(x + -4) + 4x Reorder the terms: -15 + 8 + 5x = -3 + -3(x + -4) + 4x Combine like terms: -15 + 8 = -7 -7 + 5x = -3 + -3(x + -4) + 4x Reorder the terms: -7 + 5x = -3 + -3(-4 + x) + 4x -7 + 5x = -3 + (-4 * -3 + x * -3) + 4x -7 + 5x = -3 + (12 + -3x) + 4x Combine like terms: -3 + 12 = 9 -7 + 5x = 9 + -3x + 4x Combine like terms: -3x + 4x = 1x -7 + 5x = 9 + 1x Solving -7 + 5x = 9 + 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. -7 + 5x + -1x = 9 + 1x + -1x Combine like terms: 5x + -1x = 4x -7 + 4x = 9 + 1x + -1x Combine like terms: 1x + -1x = 0 -7 + 4x = 9 + 0 -7 + 4x = 9 Add '7' to each side of the equation. -7 + 7 + 4x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 9 + 7 4x = 9 + 7 Combine like terms: 9 + 7 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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