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Simplifying -19 = 3(4x + 5) + -1(-6x + -2) Reorder the terms: -19 = 3(5 + 4x) + -1(-6x + -2) -19 = (5 * 3 + 4x * 3) + -1(-6x + -2) -19 = (15 + 12x) + -1(-6x + -2) Reorder the terms: -19 = 15 + 12x + -1(-2 + -6x) -19 = 15 + 12x + (-2 * -1 + -6x * -1) -19 = 15 + 12x + (2 + 6x) Reorder the terms: -19 = 15 + 2 + 12x + 6x Combine like terms: 15 + 2 = 17 -19 = 17 + 12x + 6x Combine like terms: 12x + 6x = 18x -19 = 17 + 18x Solving -19 = 17 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -19 + -18x = 17 + 18x + -18x Combine like terms: 18x + -18x = 0 -19 + -18x = 17 + 0 -19 + -18x = 17 Add '19' to each side of the equation. -19 + 19 + -18x = 17 + 19 Combine like terms: -19 + 19 = 0 0 + -18x = 17 + 19 -18x = 17 + 19 Combine like terms: 17 + 19 = 36 -18x = 36 Divide each side by '-18'. x = -2 Simplifying x = -2
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