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Simplifying 7 + 2x = 4(x + 3) + -3(x + -2) Reorder the terms: 7 + 2x = 4(3 + x) + -3(x + -2) 7 + 2x = (3 * 4 + x * 4) + -3(x + -2) 7 + 2x = (12 + 4x) + -3(x + -2) Reorder the terms: 7 + 2x = 12 + 4x + -3(-2 + x) 7 + 2x = 12 + 4x + (-2 * -3 + x * -3) 7 + 2x = 12 + 4x + (6 + -3x) Reorder the terms: 7 + 2x = 12 + 6 + 4x + -3x Combine like terms: 12 + 6 = 18 7 + 2x = 18 + 4x + -3x Combine like terms: 4x + -3x = 1x 7 + 2x = 18 + 1x Solving 7 + 2x = 18 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 2x + -1x = 18 + 1x + -1x Combine like terms: 2x + -1x = 1x 7 + 1x = 18 + 1x + -1x Combine like terms: 1x + -1x = 0 7 + 1x = 18 + 0 7 + 1x = 18 Add '-7' to each side of the equation. 7 + -7 + 1x = 18 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 18 + -7 1x = 18 + -7 Combine like terms: 18 + -7 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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