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Simplifying 2x + 2(x + -6) = 6x + -4(x + -10) Reorder the terms: 2x + 2(-6 + x) = 6x + -4(x + -10) 2x + (-6 * 2 + x * 2) = 6x + -4(x + -10) 2x + (-12 + 2x) = 6x + -4(x + -10) Reorder the terms: -12 + 2x + 2x = 6x + -4(x + -10) Combine like terms: 2x + 2x = 4x -12 + 4x = 6x + -4(x + -10) Reorder the terms: -12 + 4x = 6x + -4(-10 + x) -12 + 4x = 6x + (-10 * -4 + x * -4) -12 + 4x = 6x + (40 + -4x) Reorder the terms: -12 + 4x = 40 + 6x + -4x Combine like terms: 6x + -4x = 2x -12 + 4x = 40 + 2x Solving -12 + 4x = 40 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 4x + -2x = 40 + 2x + -2x Combine like terms: 4x + -2x = 2x -12 + 2x = 40 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 2x = 40 + 0 -12 + 2x = 40 Add '12' to each side of the equation. -12 + 12 + 2x = 40 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 40 + 12 2x = 40 + 12 Combine like terms: 40 + 12 = 52 2x = 52 Divide each side by '2'. x = 26 Simplifying x = 26
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