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Simplifying 19 = 3(x + -2) + -1(x + -9) Reorder the terms: 19 = 3(-2 + x) + -1(x + -9) 19 = (-2 * 3 + x * 3) + -1(x + -9) 19 = (-6 + 3x) + -1(x + -9) Reorder the terms: 19 = -6 + 3x + -1(-9 + x) 19 = -6 + 3x + (-9 * -1 + x * -1) 19 = -6 + 3x + (9 + -1x) Reorder the terms: 19 = -6 + 9 + 3x + -1x Combine like terms: -6 + 9 = 3 19 = 3 + 3x + -1x Combine like terms: 3x + -1x = 2x 19 = 3 + 2x Solving 19 = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 19 + -2x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 19 + -2x = 3 + 0 19 + -2x = 3 Add '-19' to each side of the equation. 19 + -19 + -2x = 3 + -19 Combine like terms: 19 + -19 = 0 0 + -2x = 3 + -19 -2x = 3 + -19 Combine like terms: 3 + -19 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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