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Simplifying 5(x + -6) + 1 = 2(x + -10) + -3 Reorder the terms: 5(-6 + x) + 1 = 2(x + -10) + -3 (-6 * 5 + x * 5) + 1 = 2(x + -10) + -3 (-30 + 5x) + 1 = 2(x + -10) + -3 Reorder the terms: -30 + 1 + 5x = 2(x + -10) + -3 Combine like terms: -30 + 1 = -29 -29 + 5x = 2(x + -10) + -3 Reorder the terms: -29 + 5x = 2(-10 + x) + -3 -29 + 5x = (-10 * 2 + x * 2) + -3 -29 + 5x = (-20 + 2x) + -3 Reorder the terms: -29 + 5x = -20 + -3 + 2x Combine like terms: -20 + -3 = -23 -29 + 5x = -23 + 2x Solving -29 + 5x = -23 + 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. -29 + 5x + -2x = -23 + 2x + -2x Combine like terms: 5x + -2x = 3x -29 + 3x = -23 + 2x + -2x Combine like terms: 2x + -2x = 0 -29 + 3x = -23 + 0 -29 + 3x = -23 Add '29' to each side of the equation. -29 + 29 + 3x = -23 + 29 Combine like terms: -29 + 29 = 0 0 + 3x = -23 + 29 3x = -23 + 29 Combine like terms: -23 + 29 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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