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Simplifying 2[2(3x + -6) + -3(4x + -2)] = 2x + 156 Reorder the terms: 2[2(-6 + 3x) + -3(4x + -2)] = 2x + 156 2[(-6 * 2 + 3x * 2) + -3(4x + -2)] = 2x + 156 2[(-12 + 6x) + -3(4x + -2)] = 2x + 156 Reorder the terms: 2[-12 + 6x + -3(-2 + 4x)] = 2x + 156 2[-12 + 6x + (-2 * -3 + 4x * -3)] = 2x + 156 2[-12 + 6x + (6 + -12x)] = 2x + 156 Reorder the terms: 2[-12 + 6 + 6x + -12x] = 2x + 156 Combine like terms: -12 + 6 = -6 2[-6 + 6x + -12x] = 2x + 156 Combine like terms: 6x + -12x = -6x 2[-6 + -6x] = 2x + 156 [-6 * 2 + -6x * 2] = 2x + 156 [-12 + -12x] = 2x + 156 Reorder the terms: -12 + -12x = 156 + 2x Solving -12 + -12x = 156 + 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. -12 + -12x + -2x = 156 + 2x + -2x Combine like terms: -12x + -2x = -14x -12 + -14x = 156 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -14x = 156 + 0 -12 + -14x = 156 Add '12' to each side of the equation. -12 + 12 + -14x = 156 + 12 Combine like terms: -12 + 12 = 0 0 + -14x = 156 + 12 -14x = 156 + 12 Combine like terms: 156 + 12 = 168 -14x = 168 Divide each side by '-14'. x = -12 Simplifying x = -12
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