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Simplifying 2(3 + -2x) + 5 = 3(x + -3) + -1 (3 * 2 + -2x * 2) + 5 = 3(x + -3) + -1 (6 + -4x) + 5 = 3(x + -3) + -1 Reorder the terms: 6 + 5 + -4x = 3(x + -3) + -1 Combine like terms: 6 + 5 = 11 11 + -4x = 3(x + -3) + -1 Reorder the terms: 11 + -4x = 3(-3 + x) + -1 11 + -4x = (-3 * 3 + x * 3) + -1 11 + -4x = (-9 + 3x) + -1 Reorder the terms: 11 + -4x = -9 + -1 + 3x Combine like terms: -9 + -1 = -10 11 + -4x = -10 + 3x Solving 11 + -4x = -10 + 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 + -4x + -3x = -10 + 3x + -3x Combine like terms: -4x + -3x = -7x 11 + -7x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 11 + -7x = -10 + 0 11 + -7x = -10 Add '-11' to each side of the equation. 11 + -11 + -7x = -10 + -11 Combine like terms: 11 + -11 = 0 0 + -7x = -10 + -11 -7x = -10 + -11 Combine like terms: -10 + -11 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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