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Simplifying 2(x + 2) + -3(2x + -5) + 6 = 12 + -2x Reorder the terms: 2(2 + x) + -3(2x + -5) + 6 = 12 + -2x (2 * 2 + x * 2) + -3(2x + -5) + 6 = 12 + -2x (4 + 2x) + -3(2x + -5) + 6 = 12 + -2x Reorder the terms: 4 + 2x + -3(-5 + 2x) + 6 = 12 + -2x 4 + 2x + (-5 * -3 + 2x * -3) + 6 = 12 + -2x 4 + 2x + (15 + -6x) + 6 = 12 + -2x Reorder the terms: 4 + 15 + 6 + 2x + -6x = 12 + -2x Combine like terms: 4 + 15 = 19 19 + 6 + 2x + -6x = 12 + -2x Combine like terms: 19 + 6 = 25 25 + 2x + -6x = 12 + -2x Combine like terms: 2x + -6x = -4x 25 + -4x = 12 + -2x Solving 25 + -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. 25 + -4x + 2x = 12 + -2x + 2x Combine like terms: -4x + 2x = -2x 25 + -2x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 25 + -2x = 12 + 0 25 + -2x = 12 Add '-25' to each side of the equation. 25 + -25 + -2x = 12 + -25 Combine like terms: 25 + -25 = 0 0 + -2x = 12 + -25 -2x = 12 + -25 Combine like terms: 12 + -25 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5
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