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Simplifying 40(x + -4) = 8(10x + -15) Reorder the terms: 40(-4 + x) = 8(10x + -15) (-4 * 40 + x * 40) = 8(10x + -15) (-160 + 40x) = 8(10x + -15) Reorder the terms: -160 + 40x = 8(-15 + 10x) -160 + 40x = (-15 * 8 + 10x * 8) -160 + 40x = (-120 + 80x) Solving -160 + 40x = -120 + 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. -160 + 40x + -80x = -120 + 80x + -80x Combine like terms: 40x + -80x = -40x -160 + -40x = -120 + 80x + -80x Combine like terms: 80x + -80x = 0 -160 + -40x = -120 + 0 -160 + -40x = -120 Add '160' to each side of the equation. -160 + 160 + -40x = -120 + 160 Combine like terms: -160 + 160 = 0 0 + -40x = -120 + 160 -40x = -120 + 160 Combine like terms: -120 + 160 = 40 -40x = 40 Divide each side by '-40'. x = -1 Simplifying x = -1
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