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Simplifying -16 = 3(x + -6) + -1(2x + 5) Reorder the terms: -16 = 3(-6 + x) + -1(2x + 5) -16 = (-6 * 3 + x * 3) + -1(2x + 5) -16 = (-18 + 3x) + -1(2x + 5) Reorder the terms: -16 = -18 + 3x + -1(5 + 2x) -16 = -18 + 3x + (5 * -1 + 2x * -1) -16 = -18 + 3x + (-5 + -2x) Reorder the terms: -16 = -18 + -5 + 3x + -2x Combine like terms: -18 + -5 = -23 -16 = -23 + 3x + -2x Combine like terms: 3x + -2x = 1x -16 = -23 + 1x Solving -16 = -23 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -16 + -1x = -23 + 1x + -1x Combine like terms: 1x + -1x = 0 -16 + -1x = -23 + 0 -16 + -1x = -23 Add '16' to each side of the equation. -16 + 16 + -1x = -23 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = -23 + 16 -1x = -23 + 16 Combine like terms: -23 + 16 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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