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Simplifying -4(5x + -7) + 3(8x + -3) = 15 + -4 + 3x Reorder the terms: -4(-7 + 5x) + 3(8x + -3) = 15 + -4 + 3x (-7 * -4 + 5x * -4) + 3(8x + -3) = 15 + -4 + 3x (28 + -20x) + 3(8x + -3) = 15 + -4 + 3x Reorder the terms: 28 + -20x + 3(-3 + 8x) = 15 + -4 + 3x 28 + -20x + (-3 * 3 + 8x * 3) = 15 + -4 + 3x 28 + -20x + (-9 + 24x) = 15 + -4 + 3x Reorder the terms: 28 + -9 + -20x + 24x = 15 + -4 + 3x Combine like terms: 28 + -9 = 19 19 + -20x + 24x = 15 + -4 + 3x Combine like terms: -20x + 24x = 4x 19 + 4x = 15 + -4 + 3x Combine like terms: 15 + -4 = 11 19 + 4x = 11 + 3x Solving 19 + 4x = 11 + 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. 19 + 4x + -3x = 11 + 3x + -3x Combine like terms: 4x + -3x = 1x 19 + 1x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 19 + 1x = 11 + 0 19 + 1x = 11 Add '-19' to each side of the equation. 19 + -19 + 1x = 11 + -19 Combine like terms: 19 + -19 = 0 0 + 1x = 11 + -19 1x = 11 + -19 Combine like terms: 11 + -19 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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