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Simplifying -3(5 + 1x) = 4(1x + -2) (5 * -3 + 1x * -3) = 4(1x + -2) (-15 + -3x) = 4(1x + -2) Reorder the terms: -15 + -3x = 4(-2 + 1x) -15 + -3x = (-2 * 4 + 1x * 4) -15 + -3x = (-8 + 4x) Solving -15 + -3x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -15 + -3x + -4x = -8 + 4x + -4x Combine like terms: -3x + -4x = -7x -15 + -7x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + -7x = -8 + 0 -15 + -7x = -8 Add '15' to each side of the equation. -15 + 15 + -7x = -8 + 15 Combine like terms: -15 + 15 = 0 0 + -7x = -8 + 15 -7x = -8 + 15 Combine like terms: -8 + 15 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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