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Simplifying 3x + -2(x + 5) = 3(x + -6) + -4 Reorder the terms: 3x + -2(5 + x) = 3(x + -6) + -4 3x + (5 * -2 + x * -2) = 3(x + -6) + -4 3x + (-10 + -2x) = 3(x + -6) + -4 Reorder the terms: -10 + 3x + -2x = 3(x + -6) + -4 Combine like terms: 3x + -2x = 1x -10 + 1x = 3(x + -6) + -4 Reorder the terms: -10 + 1x = 3(-6 + x) + -4 -10 + 1x = (-6 * 3 + x * 3) + -4 -10 + 1x = (-18 + 3x) + -4 Reorder the terms: -10 + 1x = -18 + -4 + 3x Combine like terms: -18 + -4 = -22 -10 + 1x = -22 + 3x Solving -10 + 1x = -22 + 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. -10 + 1x + -3x = -22 + 3x + -3x Combine like terms: 1x + -3x = -2x -10 + -2x = -22 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + -2x = -22 + 0 -10 + -2x = -22 Add '10' to each side of the equation. -10 + 10 + -2x = -22 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -22 + 10 -2x = -22 + 10 Combine like terms: -22 + 10 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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