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Simplifying 4x + 10 = 2(x + -6) Reorder the terms: 10 + 4x = 2(x + -6) Reorder the terms: 10 + 4x = 2(-6 + x) 10 + 4x = (-6 * 2 + x * 2) 10 + 4x = (-12 + 2x) Solving 10 + 4x = -12 + 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. 10 + 4x + -2x = -12 + 2x + -2x Combine like terms: 4x + -2x = 2x 10 + 2x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 2x = -12 + 0 10 + 2x = -12 Add '-10' to each side of the equation. 10 + -10 + 2x = -12 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = -12 + -10 2x = -12 + -10 Combine like terms: -12 + -10 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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