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Simplifying 1(5x + -12) = 6(x + 9) Reorder the terms: 1(-12 + 5x) = 6(x + 9) (-12 * 1 + 5x * 1) = 6(x + 9) (-12 + 5x) = 6(x + 9) Reorder the terms: -12 + 5x = 6(9 + x) -12 + 5x = (9 * 6 + x * 6) -12 + 5x = (54 + 6x) Solving -12 + 5x = 54 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 5x + -6x = 54 + 6x + -6x Combine like terms: 5x + -6x = -1x -12 + -1x = 54 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -1x = 54 + 0 -12 + -1x = 54 Add '12' to each side of the equation. -12 + 12 + -1x = 54 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 54 + 12 -1x = 54 + 12 Combine like terms: 54 + 12 = 66 -1x = 66 Divide each side by '-1'. x = -66 Simplifying x = -66
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