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Simplifying 3(x + -10) = 5(x + -2) + 6 Reorder the terms: 3(-10 + x) = 5(x + -2) + 6 (-10 * 3 + x * 3) = 5(x + -2) + 6 (-30 + 3x) = 5(x + -2) + 6 Reorder the terms: -30 + 3x = 5(-2 + x) + 6 -30 + 3x = (-2 * 5 + x * 5) + 6 -30 + 3x = (-10 + 5x) + 6 Reorder the terms: -30 + 3x = -10 + 6 + 5x Combine like terms: -10 + 6 = -4 -30 + 3x = -4 + 5x Solving -30 + 3x = -4 + 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. -30 + 3x + -5x = -4 + 5x + -5x Combine like terms: 3x + -5x = -2x -30 + -2x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -30 + -2x = -4 + 0 -30 + -2x = -4 Add '30' to each side of the equation. -30 + 30 + -2x = -4 + 30 Combine like terms: -30 + 30 = 0 0 + -2x = -4 + 30 -2x = -4 + 30 Combine like terms: -4 + 30 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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