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Simplifying 4(x + -5) = 7(2x + -5) Reorder the terms: 4(-5 + x) = 7(2x + -5) (-5 * 4 + x * 4) = 7(2x + -5) (-20 + 4x) = 7(2x + -5) Reorder the terms: -20 + 4x = 7(-5 + 2x) -20 + 4x = (-5 * 7 + 2x * 7) -20 + 4x = (-35 + 14x) Solving -20 + 4x = -35 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -20 + 4x + -14x = -35 + 14x + -14x Combine like terms: 4x + -14x = -10x -20 + -10x = -35 + 14x + -14x Combine like terms: 14x + -14x = 0 -20 + -10x = -35 + 0 -20 + -10x = -35 Add '20' to each side of the equation. -20 + 20 + -10x = -35 + 20 Combine like terms: -20 + 20 = 0 0 + -10x = -35 + 20 -10x = -35 + 20 Combine like terms: -35 + 20 = -15 -10x = -15 Divide each side by '-10'. x = 1.5 Simplifying x = 1.5
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