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Simplifying 6(x + -4) + 10 = 2(x + -5) Reorder the terms: 6(-4 + x) + 10 = 2(x + -5) (-4 * 6 + x * 6) + 10 = 2(x + -5) (-24 + 6x) + 10 = 2(x + -5) Reorder the terms: -24 + 10 + 6x = 2(x + -5) Combine like terms: -24 + 10 = -14 -14 + 6x = 2(x + -5) Reorder the terms: -14 + 6x = 2(-5 + x) -14 + 6x = (-5 * 2 + x * 2) -14 + 6x = (-10 + 2x) Solving -14 + 6x = -10 + 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. -14 + 6x + -2x = -10 + 2x + -2x Combine like terms: 6x + -2x = 4x -14 + 4x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 4x = -10 + 0 -14 + 4x = -10 Add '14' to each side of the equation. -14 + 14 + 4x = -10 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = -10 + 14 4x = -10 + 14 Combine like terms: -10 + 14 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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