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Simplifying 6x + -1(4x + -12) = 3x + 5 Reorder the terms: 6x + -1(-12 + 4x) = 3x + 5 6x + (-12 * -1 + 4x * -1) = 3x + 5 6x + (12 + -4x) = 3x + 5 Reorder the terms: 12 + 6x + -4x = 3x + 5 Combine like terms: 6x + -4x = 2x 12 + 2x = 3x + 5 Reorder the terms: 12 + 2x = 5 + 3x Solving 12 + 2x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 2x + -3x = 5 + 3x + -3x Combine like terms: 2x + -3x = -1x 12 + -1x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -1x = 5 + 0 12 + -1x = 5 Add '-12' to each side of the equation. 12 + -12 + -1x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 5 + -12 -1x = 5 + -12 Combine like terms: 5 + -12 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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