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Simplifying 4(5x + -5) + -10x + -7 = 3(3x + -15) Reorder the terms: 4(-5 + 5x) + -10x + -7 = 3(3x + -15) (-5 * 4 + 5x * 4) + -10x + -7 = 3(3x + -15) (-20 + 20x) + -10x + -7 = 3(3x + -15) Reorder the terms: -20 + -7 + 20x + -10x = 3(3x + -15) Combine like terms: -20 + -7 = -27 -27 + 20x + -10x = 3(3x + -15) Combine like terms: 20x + -10x = 10x -27 + 10x = 3(3x + -15) Reorder the terms: -27 + 10x = 3(-15 + 3x) -27 + 10x = (-15 * 3 + 3x * 3) -27 + 10x = (-45 + 9x) Solving -27 + 10x = -45 + 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. -27 + 10x + -9x = -45 + 9x + -9x Combine like terms: 10x + -9x = 1x -27 + 1x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 -27 + 1x = -45 + 0 -27 + 1x = -45 Add '27' to each side of the equation. -27 + 27 + 1x = -45 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = -45 + 27 1x = -45 + 27 Combine like terms: -45 + 27 = -18 1x = -18 Divide each side by '1'. x = -18 Simplifying x = -18
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