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Simplifying 2(4x + -2) = 10(x + -3) + 4 Reorder the terms: 2(-2 + 4x) = 10(x + -3) + 4 (-2 * 2 + 4x * 2) = 10(x + -3) + 4 (-4 + 8x) = 10(x + -3) + 4 Reorder the terms: -4 + 8x = 10(-3 + x) + 4 -4 + 8x = (-3 * 10 + x * 10) + 4 -4 + 8x = (-30 + 10x) + 4 Reorder the terms: -4 + 8x = -30 + 4 + 10x Combine like terms: -30 + 4 = -26 -4 + 8x = -26 + 10x Solving -4 + 8x = -26 + 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. -4 + 8x + -10x = -26 + 10x + -10x Combine like terms: 8x + -10x = -2x -4 + -2x = -26 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 + -2x = -26 + 0 -4 + -2x = -26 Add '4' to each side of the equation. -4 + 4 + -2x = -26 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -26 + 4 -2x = -26 + 4 Combine like terms: -26 + 4 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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