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Simplifying 2(x + -6) + 4 = 10 + -3(x + -4) Reorder the terms: 2(-6 + x) + 4 = 10 + -3(x + -4) (-6 * 2 + x * 2) + 4 = 10 + -3(x + -4) (-12 + 2x) + 4 = 10 + -3(x + -4) Reorder the terms: -12 + 4 + 2x = 10 + -3(x + -4) Combine like terms: -12 + 4 = -8 -8 + 2x = 10 + -3(x + -4) Reorder the terms: -8 + 2x = 10 + -3(-4 + x) -8 + 2x = 10 + (-4 * -3 + x * -3) -8 + 2x = 10 + (12 + -3x) Combine like terms: 10 + 12 = 22 -8 + 2x = 22 + -3x Solving -8 + 2x = 22 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + 2x + 3x = 22 + -3x + 3x Combine like terms: 2x + 3x = 5x -8 + 5x = 22 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 5x = 22 + 0 -8 + 5x = 22 Add '8' to each side of the equation. -8 + 8 + 5x = 22 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 22 + 8 5x = 22 + 8 Combine like terms: 22 + 8 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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