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Simplifying 4(2x + -6) + -2 = 4(x + -3) + 10 Reorder the terms: 4(-6 + 2x) + -2 = 4(x + -3) + 10 (-6 * 4 + 2x * 4) + -2 = 4(x + -3) + 10 (-24 + 8x) + -2 = 4(x + -3) + 10 Reorder the terms: -24 + -2 + 8x = 4(x + -3) + 10 Combine like terms: -24 + -2 = -26 -26 + 8x = 4(x + -3) + 10 Reorder the terms: -26 + 8x = 4(-3 + x) + 10 -26 + 8x = (-3 * 4 + x * 4) + 10 -26 + 8x = (-12 + 4x) + 10 Reorder the terms: -26 + 8x = -12 + 10 + 4x Combine like terms: -12 + 10 = -2 -26 + 8x = -2 + 4x Solving -26 + 8x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -26 + 8x + -4x = -2 + 4x + -4x Combine like terms: 8x + -4x = 4x -26 + 4x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -26 + 4x = -2 + 0 -26 + 4x = -2 Add '26' to each side of the equation. -26 + 26 + 4x = -2 + 26 Combine like terms: -26 + 26 = 0 0 + 4x = -2 + 26 4x = -2 + 26 Combine like terms: -2 + 26 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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