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Simplifying 2(x + 3) + 5 = 6(x + -2) + -3x Reorder the terms: 2(3 + x) + 5 = 6(x + -2) + -3x (3 * 2 + x * 2) + 5 = 6(x + -2) + -3x (6 + 2x) + 5 = 6(x + -2) + -3x Reorder the terms: 6 + 5 + 2x = 6(x + -2) + -3x Combine like terms: 6 + 5 = 11 11 + 2x = 6(x + -2) + -3x Reorder the terms: 11 + 2x = 6(-2 + x) + -3x 11 + 2x = (-2 * 6 + x * 6) + -3x 11 + 2x = (-12 + 6x) + -3x Combine like terms: 6x + -3x = 3x 11 + 2x = -12 + 3x Solving 11 + 2x = -12 + 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. 11 + 2x + -3x = -12 + 3x + -3x Combine like terms: 2x + -3x = -1x 11 + -1x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 11 + -1x = -12 + 0 11 + -1x = -12 Add '-11' to each side of the equation. 11 + -11 + -1x = -12 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = -12 + -11 -1x = -12 + -11 Combine like terms: -12 + -11 = -23 -1x = -23 Divide each side by '-1'. x = 23 Simplifying x = 23
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