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Simplifying 5(x + -3) + -1(-1x + 12) = 0 Reorder the terms: 5(-3 + x) + -1(-1x + 12) = 0 (-3 * 5 + x * 5) + -1(-1x + 12) = 0 (-15 + 5x) + -1(-1x + 12) = 0 Reorder the terms: -15 + 5x + -1(12 + -1x) = 0 -15 + 5x + (12 * -1 + -1x * -1) = 0 -15 + 5x + (-12 + 1x) = 0 Reorder the terms: -15 + -12 + 5x + 1x = 0 Combine like terms: -15 + -12 = -27 -27 + 5x + 1x = 0 Combine like terms: 5x + 1x = 6x -27 + 6x = 0 Solving -27 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 6x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 6x = 0 + 27 6x = 0 + 27 Combine like terms: 0 + 27 = 27 6x = 27 Divide each side by '6'. x = 4.5 Simplifying x = 4.5
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