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Simplifying -1(4x + -6) + 3(2x + -4) + 3 = 1 Reorder the terms: -1(-6 + 4x) + 3(2x + -4) + 3 = 1 (-6 * -1 + 4x * -1) + 3(2x + -4) + 3 = 1 (6 + -4x) + 3(2x + -4) + 3 = 1 Reorder the terms: 6 + -4x + 3(-4 + 2x) + 3 = 1 6 + -4x + (-4 * 3 + 2x * 3) + 3 = 1 6 + -4x + (-12 + 6x) + 3 = 1 Reorder the terms: 6 + -12 + 3 + -4x + 6x = 1 Combine like terms: 6 + -12 = -6 -6 + 3 + -4x + 6x = 1 Combine like terms: -6 + 3 = -3 -3 + -4x + 6x = 1 Combine like terms: -4x + 6x = 2x -3 + 2x = 1 Solving -3 + 2x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 1 + 3 2x = 1 + 3 Combine like terms: 1 + 3 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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