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