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Simplifying -10(x + -4) = 5(2x + 5) + -7 Reorder the terms: -10(-4 + x) = 5(2x + 5) + -7 (-4 * -10 + x * -10) = 5(2x + 5) + -7 (40 + -10x) = 5(2x + 5) + -7 Reorder the terms: 40 + -10x = 5(5 + 2x) + -7 40 + -10x = (5 * 5 + 2x * 5) + -7 40 + -10x = (25 + 10x) + -7 Reorder the terms: 40 + -10x = 25 + -7 + 10x Combine like terms: 25 + -7 = 18 40 + -10x = 18 + 10x Solving 40 + -10x = 18 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 40 + -10x + -10x = 18 + 10x + -10x Combine like terms: -10x + -10x = -20x 40 + -20x = 18 + 10x + -10x Combine like terms: 10x + -10x = 0 40 + -20x = 18 + 0 40 + -20x = 18 Add '-40' to each side of the equation. 40 + -40 + -20x = 18 + -40 Combine like terms: 40 + -40 = 0 0 + -20x = 18 + -40 -20x = 18 + -40 Combine like terms: 18 + -40 = -22 -20x = -22 Divide each side by '-20'. x = 1.1 Simplifying x = 1.1
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