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Simplifying 4(5 + 2x) + -5 = 3(3x + -7) (5 * 4 + 2x * 4) + -5 = 3(3x + -7) (20 + 8x) + -5 = 3(3x + -7) Reorder the terms: 20 + -5 + 8x = 3(3x + -7) Combine like terms: 20 + -5 = 15 15 + 8x = 3(3x + -7) Reorder the terms: 15 + 8x = 3(-7 + 3x) 15 + 8x = (-7 * 3 + 3x * 3) 15 + 8x = (-21 + 9x) Solving 15 + 8x = -21 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 15 + 8x + -9x = -21 + 9x + -9x Combine like terms: 8x + -9x = -1x 15 + -1x = -21 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + -1x = -21 + 0 15 + -1x = -21 Add '-15' to each side of the equation. 15 + -15 + -1x = -21 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = -21 + -15 -1x = -21 + -15 Combine like terms: -21 + -15 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36
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