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Simplifying 16 = 3(x + -10) + -1(x + -8) Reorder the terms: 16 = 3(-10 + x) + -1(x + -8) 16 = (-10 * 3 + x * 3) + -1(x + -8) 16 = (-30 + 3x) + -1(x + -8) Reorder the terms: 16 = -30 + 3x + -1(-8 + x) 16 = -30 + 3x + (-8 * -1 + x * -1) 16 = -30 + 3x + (8 + -1x) Reorder the terms: 16 = -30 + 8 + 3x + -1x Combine like terms: -30 + 8 = -22 16 = -22 + 3x + -1x Combine like terms: 3x + -1x = 2x 16 = -22 + 2x Solving 16 = -22 + 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. 16 + -2x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + -2x = -22 + 0 16 + -2x = -22 Add '-16' to each side of the equation. 16 + -16 + -2x = -22 + -16 Combine like terms: 16 + -16 = 0 0 + -2x = -22 + -16 -2x = -22 + -16 Combine like terms: -22 + -16 = -38 -2x = -38 Divide each side by '-2'. x = 19 Simplifying x = 19
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