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Simplifying -3x + 2(x + 3) = -4 + 2(x + -3) Reorder the terms: -3x + 2(3 + x) = -4 + 2(x + -3) -3x + (3 * 2 + x * 2) = -4 + 2(x + -3) -3x + (6 + 2x) = -4 + 2(x + -3) Reorder the terms: 6 + -3x + 2x = -4 + 2(x + -3) Combine like terms: -3x + 2x = -1x 6 + -1x = -4 + 2(x + -3) Reorder the terms: 6 + -1x = -4 + 2(-3 + x) 6 + -1x = -4 + (-3 * 2 + x * 2) 6 + -1x = -4 + (-6 + 2x) Combine like terms: -4 + -6 = -10 6 + -1x = -10 + 2x Solving 6 + -1x = -10 + 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. 6 + -1x + -2x = -10 + 2x + -2x Combine like terms: -1x + -2x = -3x 6 + -3x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -3x = -10 + 0 6 + -3x = -10 Add '-6' to each side of the equation. 6 + -6 + -3x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -10 + -6 -3x = -10 + -6 Combine like terms: -10 + -6 = -16 -3x = -16 Divide each side by '-3'. x = 5.333333333 Simplifying x = 5.333333333
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