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Simplifying 2(x + 2) + -3(2x + -3) = 6 Reorder the terms: 2(2 + x) + -3(2x + -3) = 6 (2 * 2 + x * 2) + -3(2x + -3) = 6 (4 + 2x) + -3(2x + -3) = 6 Reorder the terms: 4 + 2x + -3(-3 + 2x) = 6 4 + 2x + (-3 * -3 + 2x * -3) = 6 4 + 2x + (9 + -6x) = 6 Reorder the terms: 4 + 9 + 2x + -6x = 6 Combine like terms: 4 + 9 = 13 13 + 2x + -6x = 6 Combine like terms: 2x + -6x = -4x 13 + -4x = 6 Solving 13 + -4x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -4x = 6 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = 6 + -13 -4x = 6 + -13 Combine like terms: 6 + -13 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75
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