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Simplifying 6(x + -5) + 6 = 2(x + -4) Reorder the terms: 6(-5 + x) + 6 = 2(x + -4) (-5 * 6 + x * 6) + 6 = 2(x + -4) (-30 + 6x) + 6 = 2(x + -4) Reorder the terms: -30 + 6 + 6x = 2(x + -4) Combine like terms: -30 + 6 = -24 -24 + 6x = 2(x + -4) Reorder the terms: -24 + 6x = 2(-4 + x) -24 + 6x = (-4 * 2 + x * 2) -24 + 6x = (-8 + 2x) Solving -24 + 6x = -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. -24 + 6x + -2x = -8 + 2x + -2x Combine like terms: 6x + -2x = 4x -24 + 4x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 4x = -8 + 0 -24 + 4x = -8 Add '24' to each side of the equation. -24 + 24 + 4x = -8 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = -8 + 24 4x = -8 + 24 Combine like terms: -8 + 24 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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