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Simplifying 4(x + -4) + 24 = 3(x + -3) + 15 Reorder the terms: 4(-4 + x) + 24 = 3(x + -3) + 15 (-4 * 4 + x * 4) + 24 = 3(x + -3) + 15 (-16 + 4x) + 24 = 3(x + -3) + 15 Reorder the terms: -16 + 24 + 4x = 3(x + -3) + 15 Combine like terms: -16 + 24 = 8 8 + 4x = 3(x + -3) + 15 Reorder the terms: 8 + 4x = 3(-3 + x) + 15 8 + 4x = (-3 * 3 + x * 3) + 15 8 + 4x = (-9 + 3x) + 15 Reorder the terms: 8 + 4x = -9 + 15 + 3x Combine like terms: -9 + 15 = 6 8 + 4x = 6 + 3x Solving 8 + 4x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + 4x + -3x = 6 + 3x + -3x Combine like terms: 4x + -3x = 1x 8 + 1x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 1x = 6 + 0 8 + 1x = 6 Add '-8' to each side of the equation. 8 + -8 + 1x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 6 + -8 1x = 6 + -8 Combine like terms: 6 + -8 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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