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Simplifying 2(x + 5) + 2 = 6(x + -2) + 4x Reorder the terms: 2(5 + x) + 2 = 6(x + -2) + 4x (5 * 2 + x * 2) + 2 = 6(x + -2) + 4x (10 + 2x) + 2 = 6(x + -2) + 4x Reorder the terms: 10 + 2 + 2x = 6(x + -2) + 4x Combine like terms: 10 + 2 = 12 12 + 2x = 6(x + -2) + 4x Reorder the terms: 12 + 2x = 6(-2 + x) + 4x 12 + 2x = (-2 * 6 + x * 6) + 4x 12 + 2x = (-12 + 6x) + 4x Combine like terms: 6x + 4x = 10x 12 + 2x = -12 + 10x Solving 12 + 2x = -12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 2x + -10x = -12 + 10x + -10x Combine like terms: 2x + -10x = -8x 12 + -8x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -8x = -12 + 0 12 + -8x = -12 Add '-12' to each side of the equation. 12 + -12 + -8x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -12 + -12 -8x = -12 + -12 Combine like terms: -12 + -12 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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