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Simplifying 2(x + 3) + 2x = x + -3(x + 4) Reorder the terms: 2(3 + x) + 2x = x + -3(x + 4) (3 * 2 + x * 2) + 2x = x + -3(x + 4) (6 + 2x) + 2x = x + -3(x + 4) Combine like terms: 2x + 2x = 4x 6 + 4x = x + -3(x + 4) Reorder the terms: 6 + 4x = x + -3(4 + x) 6 + 4x = x + (4 * -3 + x * -3) 6 + 4x = x + (-12 + -3x) Reorder the terms: 6 + 4x = -12 + x + -3x Combine like terms: x + -3x = -2x 6 + 4x = -12 + -2x Solving 6 + 4x = -12 + -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 + 4x + 2x = -12 + -2x + 2x Combine like terms: 4x + 2x = 6x 6 + 6x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 6x = -12 + 0 6 + 6x = -12 Add '-6' to each side of the equation. 6 + -6 + 6x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = -12 + -6 6x = -12 + -6 Combine like terms: -12 + -6 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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