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Simplifying 3x + -5(x + 10) = 2(x + -2) + -1x + 41 Reorder the terms: 3x + -5(10 + x) = 2(x + -2) + -1x + 41 3x + (10 * -5 + x * -5) = 2(x + -2) + -1x + 41 3x + (-50 + -5x) = 2(x + -2) + -1x + 41 Reorder the terms: -50 + 3x + -5x = 2(x + -2) + -1x + 41 Combine like terms: 3x + -5x = -2x -50 + -2x = 2(x + -2) + -1x + 41 Reorder the terms: -50 + -2x = 2(-2 + x) + -1x + 41 -50 + -2x = (-2 * 2 + x * 2) + -1x + 41 -50 + -2x = (-4 + 2x) + -1x + 41 Reorder the terms: -50 + -2x = -4 + 41 + 2x + -1x Combine like terms: -4 + 41 = 37 -50 + -2x = 37 + 2x + -1x Combine like terms: 2x + -1x = 1x -50 + -2x = 37 + 1x Solving -50 + -2x = 37 + 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. -50 + -2x + -1x = 37 + 1x + -1x Combine like terms: -2x + -1x = -3x -50 + -3x = 37 + 1x + -1x Combine like terms: 1x + -1x = 0 -50 + -3x = 37 + 0 -50 + -3x = 37 Add '50' to each side of the equation. -50 + 50 + -3x = 37 + 50 Combine like terms: -50 + 50 = 0 0 + -3x = 37 + 50 -3x = 37 + 50 Combine like terms: 37 + 50 = 87 -3x = 87 Divide each side by '-3'. x = -29 Simplifying x = -29
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