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Simplifying 4(x + -6) = -2(3x + 5) Reorder the terms: 4(-6 + x) = -2(3x + 5) (-6 * 4 + x * 4) = -2(3x + 5) (-24 + 4x) = -2(3x + 5) Reorder the terms: -24 + 4x = -2(5 + 3x) -24 + 4x = (5 * -2 + 3x * -2) -24 + 4x = (-10 + -6x) Solving -24 + 4x = -10 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -24 + 4x + 6x = -10 + -6x + 6x Combine like terms: 4x + 6x = 10x -24 + 10x = -10 + -6x + 6x Combine like terms: -6x + 6x = 0 -24 + 10x = -10 + 0 -24 + 10x = -10 Add '24' to each side of the equation. -24 + 24 + 10x = -10 + 24 Combine like terms: -24 + 24 = 0 0 + 10x = -10 + 24 10x = -10 + 24 Combine like terms: -10 + 24 = 14 10x = 14 Divide each side by '10'. x = 1.4 Simplifying x = 1.4
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