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Simplifying 5(x + -2) + 6 = 3(x + -4) + 10 Reorder the terms: 5(-2 + x) + 6 = 3(x + -4) + 10 (-2 * 5 + x * 5) + 6 = 3(x + -4) + 10 (-10 + 5x) + 6 = 3(x + -4) + 10 Reorder the terms: -10 + 6 + 5x = 3(x + -4) + 10 Combine like terms: -10 + 6 = -4 -4 + 5x = 3(x + -4) + 10 Reorder the terms: -4 + 5x = 3(-4 + x) + 10 -4 + 5x = (-4 * 3 + x * 3) + 10 -4 + 5x = (-12 + 3x) + 10 Reorder the terms: -4 + 5x = -12 + 10 + 3x Combine like terms: -12 + 10 = -2 -4 + 5x = -2 + 3x Solving -4 + 5x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 5x + -3x = -2 + 3x + -3x Combine like terms: 5x + -3x = 2x -4 + 2x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 2x = -2 + 0 -4 + 2x = -2 Add '4' to each side of the equation. -4 + 4 + 2x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -2 + 4 2x = -2 + 4 Combine like terms: -2 + 4 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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