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Simplifying 6x + -4(x + 1) = 2(x + -3) + -1(1 + -2x) Reorder the terms: 6x + -4(1 + x) = 2(x + -3) + -1(1 + -2x) 6x + (1 * -4 + x * -4) = 2(x + -3) + -1(1 + -2x) 6x + (-4 + -4x) = 2(x + -3) + -1(1 + -2x) Reorder the terms: -4 + 6x + -4x = 2(x + -3) + -1(1 + -2x) Combine like terms: 6x + -4x = 2x -4 + 2x = 2(x + -3) + -1(1 + -2x) Reorder the terms: -4 + 2x = 2(-3 + x) + -1(1 + -2x) -4 + 2x = (-3 * 2 + x * 2) + -1(1 + -2x) -4 + 2x = (-6 + 2x) + -1(1 + -2x) -4 + 2x = -6 + 2x + (1 * -1 + -2x * -1) -4 + 2x = -6 + 2x + (-1 + 2x) Reorder the terms: -4 + 2x = -6 + -1 + 2x + 2x Combine like terms: -6 + -1 = -7 -4 + 2x = -7 + 2x + 2x Combine like terms: 2x + 2x = 4x -4 + 2x = -7 + 4x Solving -4 + 2x = -7 + 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. -4 + 2x + -4x = -7 + 4x + -4x Combine like terms: 2x + -4x = -2x -4 + -2x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -2x = -7 + 0 -4 + -2x = -7 Add '4' to each side of the equation. -4 + 4 + -2x = -7 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -7 + 4 -2x = -7 + 4 Combine like terms: -7 + 4 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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