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Simplifying 5x + -4(3 + -1x) = 2(x + -1) + -3 5x + (3 * -4 + -1x * -4) = 2(x + -1) + -3 5x + (-12 + 4x) = 2(x + -1) + -3 Reorder the terms: -12 + 5x + 4x = 2(x + -1) + -3 Combine like terms: 5x + 4x = 9x -12 + 9x = 2(x + -1) + -3 Reorder the terms: -12 + 9x = 2(-1 + x) + -3 -12 + 9x = (-1 * 2 + x * 2) + -3 -12 + 9x = (-2 + 2x) + -3 Reorder the terms: -12 + 9x = -2 + -3 + 2x Combine like terms: -2 + -3 = -5 -12 + 9x = -5 + 2x Solving -12 + 9x = -5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 9x + -2x = -5 + 2x + -2x Combine like terms: 9x + -2x = 7x -12 + 7x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 7x = -5 + 0 -12 + 7x = -5 Add '12' to each side of the equation. -12 + 12 + 7x = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = -5 + 12 7x = -5 + 12 Combine like terms: -5 + 12 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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