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Simplifying 10x + -1(4x + -12) = 9x + -6 Reorder the terms: 10x + -1(-12 + 4x) = 9x + -6 10x + (-12 * -1 + 4x * -1) = 9x + -6 10x + (12 + -4x) = 9x + -6 Reorder the terms: 12 + 10x + -4x = 9x + -6 Combine like terms: 10x + -4x = 6x 12 + 6x = 9x + -6 Reorder the terms: 12 + 6x = -6 + 9x Solving 12 + 6x = -6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + 6x + -9x = -6 + 9x + -9x Combine like terms: 6x + -9x = -3x 12 + -3x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -3x = -6 + 0 12 + -3x = -6 Add '-12' to each side of the equation. 12 + -12 + -3x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -6 + -12 -3x = -6 + -12 Combine like terms: -6 + -12 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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