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Simplifying 4(x + -6) + 14 = 2(x + -4) Reorder the terms: 4(-6 + x) + 14 = 2(x + -4) (-6 * 4 + x * 4) + 14 = 2(x + -4) (-24 + 4x) + 14 = 2(x + -4) Reorder the terms: -24 + 14 + 4x = 2(x + -4) Combine like terms: -24 + 14 = -10 -10 + 4x = 2(x + -4) Reorder the terms: -10 + 4x = 2(-4 + x) -10 + 4x = (-4 * 2 + x * 2) -10 + 4x = (-8 + 2x) Solving -10 + 4x = -8 + 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 = -8 + 2x + -2x Combine like terms: 4x + -2x = 2x -10 + 2x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 2x = -8 + 0 -10 + 2x = -8 Add '10' to each side of the equation. -10 + 10 + 2x = -8 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = -8 + 10 2x = -8 + 10 Combine like terms: -8 + 10 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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