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Simplifying -5(3 + -2x) + -1(1 + -1x) = 4(x + -3) (3 * -5 + -2x * -5) + -1(1 + -1x) = 4(x + -3) (-15 + 10x) + -1(1 + -1x) = 4(x + -3) -15 + 10x + (1 * -1 + -1x * -1) = 4(x + -3) -15 + 10x + (-1 + 1x) = 4(x + -3) Reorder the terms: -15 + -1 + 10x + 1x = 4(x + -3) Combine like terms: -15 + -1 = -16 -16 + 10x + 1x = 4(x + -3) Combine like terms: 10x + 1x = 11x -16 + 11x = 4(x + -3) Reorder the terms: -16 + 11x = 4(-3 + x) -16 + 11x = (-3 * 4 + x * 4) -16 + 11x = (-12 + 4x) Solving -16 + 11x = -12 + 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. -16 + 11x + -4x = -12 + 4x + -4x Combine like terms: 11x + -4x = 7x -16 + 7x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + 7x = -12 + 0 -16 + 7x = -12 Add '16' to each side of the equation. -16 + 16 + 7x = -12 + 16 Combine like terms: -16 + 16 = 0 0 + 7x = -12 + 16 7x = -12 + 16 Combine like terms: -12 + 16 = 4 7x = 4 Divide each side by '7'. x = 0.5714285714 Simplifying x = 0.5714285714
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