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Simplifying 5(x + -3) = 4(2x + -7) + -14 Reorder the terms: 5(-3 + x) = 4(2x + -7) + -14 (-3 * 5 + x * 5) = 4(2x + -7) + -14 (-15 + 5x) = 4(2x + -7) + -14 Reorder the terms: -15 + 5x = 4(-7 + 2x) + -14 -15 + 5x = (-7 * 4 + 2x * 4) + -14 -15 + 5x = (-28 + 8x) + -14 Reorder the terms: -15 + 5x = -28 + -14 + 8x Combine like terms: -28 + -14 = -42 -15 + 5x = -42 + 8x Solving -15 + 5x = -42 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -15 + 5x + -8x = -42 + 8x + -8x Combine like terms: 5x + -8x = -3x -15 + -3x = -42 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + -3x = -42 + 0 -15 + -3x = -42 Add '15' to each side of the equation. -15 + 15 + -3x = -42 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = -42 + 15 -3x = -42 + 15 Combine like terms: -42 + 15 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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