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Simplifying 3(x + -10) + 1 = 5(x + -2) Reorder the terms: 3(-10 + x) + 1 = 5(x + -2) (-10 * 3 + x * 3) + 1 = 5(x + -2) (-30 + 3x) + 1 = 5(x + -2) Reorder the terms: -30 + 1 + 3x = 5(x + -2) Combine like terms: -30 + 1 = -29 -29 + 3x = 5(x + -2) Reorder the terms: -29 + 3x = 5(-2 + x) -29 + 3x = (-2 * 5 + x * 5) -29 + 3x = (-10 + 5x) Solving -29 + 3x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -29 + 3x + -5x = -10 + 5x + -5x Combine like terms: 3x + -5x = -2x -29 + -2x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -29 + -2x = -10 + 0 -29 + -2x = -10 Add '29' to each side of the equation. -29 + 29 + -2x = -10 + 29 Combine like terms: -29 + 29 = 0 0 + -2x = -10 + 29 -2x = -10 + 29 Combine like terms: -10 + 29 = 19 -2x = 19 Divide each side by '-2'. x = -9.5 Simplifying x = -9.5
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