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Simplifying 3x + -3 = -2(x + 1) + 4(2 + -1x) Reorder the terms: -3 + 3x = -2(x + 1) + 4(2 + -1x) Reorder the terms: -3 + 3x = -2(1 + x) + 4(2 + -1x) -3 + 3x = (1 * -2 + x * -2) + 4(2 + -1x) -3 + 3x = (-2 + -2x) + 4(2 + -1x) -3 + 3x = -2 + -2x + (2 * 4 + -1x * 4) -3 + 3x = -2 + -2x + (8 + -4x) Reorder the terms: -3 + 3x = -2 + 8 + -2x + -4x Combine like terms: -2 + 8 = 6 -3 + 3x = 6 + -2x + -4x Combine like terms: -2x + -4x = -6x -3 + 3x = 6 + -6x Solving -3 + 3x = 6 + -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. -3 + 3x + 6x = 6 + -6x + 6x Combine like terms: 3x + 6x = 9x -3 + 9x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 9x = 6 + 0 -3 + 9x = 6 Add '3' to each side of the equation. -3 + 3 + 9x = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 6 + 3 9x = 6 + 3 Combine like terms: 6 + 3 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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