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Simplifying 2(3x + -4) + -2 = 2(x + -2) + 26 Reorder the terms: 2(-4 + 3x) + -2 = 2(x + -2) + 26 (-4 * 2 + 3x * 2) + -2 = 2(x + -2) + 26 (-8 + 6x) + -2 = 2(x + -2) + 26 Reorder the terms: -8 + -2 + 6x = 2(x + -2) + 26 Combine like terms: -8 + -2 = -10 -10 + 6x = 2(x + -2) + 26 Reorder the terms: -10 + 6x = 2(-2 + x) + 26 -10 + 6x = (-2 * 2 + x * 2) + 26 -10 + 6x = (-4 + 2x) + 26 Reorder the terms: -10 + 6x = -4 + 26 + 2x Combine like terms: -4 + 26 = 22 -10 + 6x = 22 + 2x Solving -10 + 6x = 22 + 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. -10 + 6x + -2x = 22 + 2x + -2x Combine like terms: 6x + -2x = 4x -10 + 4x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 4x = 22 + 0 -10 + 4x = 22 Add '10' to each side of the equation. -10 + 10 + 4x = 22 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 22 + 10 4x = 22 + 10 Combine like terms: 22 + 10 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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