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Simplifying 6 + 2x = 4(x + 3) + -3(x + -3) Reorder the terms: 6 + 2x = 4(3 + x) + -3(x + -3) 6 + 2x = (3 * 4 + x * 4) + -3(x + -3) 6 + 2x = (12 + 4x) + -3(x + -3) Reorder the terms: 6 + 2x = 12 + 4x + -3(-3 + x) 6 + 2x = 12 + 4x + (-3 * -3 + x * -3) 6 + 2x = 12 + 4x + (9 + -3x) Reorder the terms: 6 + 2x = 12 + 9 + 4x + -3x Combine like terms: 12 + 9 = 21 6 + 2x = 21 + 4x + -3x Combine like terms: 4x + -3x = 1x 6 + 2x = 21 + 1x Solving 6 + 2x = 21 + 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. 6 + 2x + -1x = 21 + 1x + -1x Combine like terms: 2x + -1x = 1x 6 + 1x = 21 + 1x + -1x Combine like terms: 1x + -1x = 0 6 + 1x = 21 + 0 6 + 1x = 21 Add '-6' to each side of the equation. 6 + -6 + 1x = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 21 + -6 1x = 21 + -6 Combine like terms: 21 + -6 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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