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Simplifying -19 = 6x + -1(2x + -12) Reorder the terms: -19 = 6x + -1(-12 + 2x) -19 = 6x + (-12 * -1 + 2x * -1) -19 = 6x + (12 + -2x) Reorder the terms: -19 = 12 + 6x + -2x Combine like terms: 6x + -2x = 4x -19 = 12 + 4x Solving -19 = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -19 + -4x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -19 + -4x = 12 + 0 -19 + -4x = 12 Add '19' to each side of the equation. -19 + 19 + -4x = 12 + 19 Combine like terms: -19 + 19 = 0 0 + -4x = 12 + 19 -4x = 12 + 19 Combine like terms: 12 + 19 = 31 -4x = 31 Divide each side by '-4'. x = -7.75 Simplifying x = -7.75
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