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Simplifying -3(x + 1) = 2(x + 3) + x + -3 Reorder the terms: -3(1 + x) = 2(x + 3) + x + -3 (1 * -3 + x * -3) = 2(x + 3) + x + -3 (-3 + -3x) = 2(x + 3) + x + -3 Reorder the terms: -3 + -3x = 2(3 + x) + x + -3 -3 + -3x = (3 * 2 + x * 2) + x + -3 -3 + -3x = (6 + 2x) + x + -3 Reorder the terms: -3 + -3x = 6 + -3 + 2x + x Combine like terms: 6 + -3 = 3 -3 + -3x = 3 + 2x + x Combine like terms: 2x + x = 3x -3 + -3x = 3 + 3x Solving -3 + -3x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + -3x + -3x = 3 + 3x + -3x Combine like terms: -3x + -3x = -6x -3 + -6x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -6x = 3 + 0 -3 + -6x = 3 Add '3' to each side of the equation. -3 + 3 + -6x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = 3 + 3 -6x = 3 + 3 Combine like terms: 3 + 3 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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