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Simplifying 4(x + -2) + -1(3x + -8) = 45 Reorder the terms: 4(-2 + x) + -1(3x + -8) = 45 (-2 * 4 + x * 4) + -1(3x + -8) = 45 (-8 + 4x) + -1(3x + -8) = 45 Reorder the terms: -8 + 4x + -1(-8 + 3x) = 45 -8 + 4x + (-8 * -1 + 3x * -1) = 45 -8 + 4x + (8 + -3x) = 45 Reorder the terms: -8 + 8 + 4x + -3x = 45 Combine like terms: -8 + 8 = 0 0 + 4x + -3x = 45 4x + -3x = 45 Combine like terms: 4x + -3x = 1x 1x = 45 Solving 1x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '1'. x = 45 Simplifying x = 45
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