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Simplifying 3(x + -5) + -1(2x + 1) = 3x Reorder the terms: 3(-5 + x) + -1(2x + 1) = 3x (-5 * 3 + x * 3) + -1(2x + 1) = 3x (-15 + 3x) + -1(2x + 1) = 3x Reorder the terms: -15 + 3x + -1(1 + 2x) = 3x -15 + 3x + (1 * -1 + 2x * -1) = 3x -15 + 3x + (-1 + -2x) = 3x Reorder the terms: -15 + -1 + 3x + -2x = 3x Combine like terms: -15 + -1 = -16 -16 + 3x + -2x = 3x Combine like terms: 3x + -2x = 1x -16 + 1x = 3x Solving -16 + 1x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -16 + 1x + -3x = 3x + -3x Combine like terms: 1x + -3x = -2x -16 + -2x = 3x + -3x Combine like terms: 3x + -3x = 0 -16 + -2x = 0 Add '16' to each side of the equation. -16 + 16 + -2x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -2x = 0 + 16 -2x = 0 + 16 Combine like terms: 0 + 16 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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