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Simplifying 3x + -1(2x + 1) = 3(x + -5) + -4(x + 1) + 10 Reorder the terms: 3x + -1(1 + 2x) = 3(x + -5) + -4(x + 1) + 10 3x + (1 * -1 + 2x * -1) = 3(x + -5) + -4(x + 1) + 10 3x + (-1 + -2x) = 3(x + -5) + -4(x + 1) + 10 Reorder the terms: -1 + 3x + -2x = 3(x + -5) + -4(x + 1) + 10 Combine like terms: 3x + -2x = 1x -1 + 1x = 3(x + -5) + -4(x + 1) + 10 Reorder the terms: -1 + 1x = 3(-5 + x) + -4(x + 1) + 10 -1 + 1x = (-5 * 3 + x * 3) + -4(x + 1) + 10 -1 + 1x = (-15 + 3x) + -4(x + 1) + 10 Reorder the terms: -1 + 1x = -15 + 3x + -4(1 + x) + 10 -1 + 1x = -15 + 3x + (1 * -4 + x * -4) + 10 -1 + 1x = -15 + 3x + (-4 + -4x) + 10 Reorder the terms: -1 + 1x = -15 + -4 + 10 + 3x + -4x Combine like terms: -15 + -4 = -19 -1 + 1x = -19 + 10 + 3x + -4x Combine like terms: -19 + 10 = -9 -1 + 1x = -9 + 3x + -4x Combine like terms: 3x + -4x = -1x -1 + 1x = -9 + -1x Solving -1 + 1x = -9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -1 + 1x + x = -9 + -1x + x Combine like terms: 1x + x = 2x -1 + 2x = -9 + -1x + x Combine like terms: -1x + x = 0 -1 + 2x = -9 + 0 -1 + 2x = -9 Add '1' to each side of the equation. -1 + 1 + 2x = -9 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = -9 + 1 2x = -9 + 1 Combine like terms: -9 + 1 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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