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Simplifying (2x + -10) + (x + 6) = 4(x + -6) Reorder the terms: (-10 + 2x) + (x + 6) = 4(x + -6) Remove parenthesis around (-10 + 2x) -10 + 2x + (x + 6) = 4(x + -6) Reorder the terms: -10 + 2x + (6 + x) = 4(x + -6) Remove parenthesis around (6 + x) -10 + 2x + 6 + x = 4(x + -6) Reorder the terms: -10 + 6 + 2x + x = 4(x + -6) Combine like terms: -10 + 6 = -4 -4 + 2x + x = 4(x + -6) Combine like terms: 2x + x = 3x -4 + 3x = 4(x + -6) Reorder the terms: -4 + 3x = 4(-6 + x) -4 + 3x = (-6 * 4 + x * 4) -4 + 3x = (-24 + 4x) Solving -4 + 3x = -24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + 3x + -4x = -24 + 4x + -4x Combine like terms: 3x + -4x = -1x -4 + -1x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -1x = -24 + 0 -4 + -1x = -24 Add '4' to each side of the equation. -4 + 4 + -1x = -24 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -24 + 4 -1x = -24 + 4 Combine like terms: -24 + 4 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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