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Simplifying 2(3x + -2) + -5 = 2(x + -4) + 31 Reorder the terms: 2(-2 + 3x) + -5 = 2(x + -4) + 31 (-2 * 2 + 3x * 2) + -5 = 2(x + -4) + 31 (-4 + 6x) + -5 = 2(x + -4) + 31 Reorder the terms: -4 + -5 + 6x = 2(x + -4) + 31 Combine like terms: -4 + -5 = -9 -9 + 6x = 2(x + -4) + 31 Reorder the terms: -9 + 6x = 2(-4 + x) + 31 -9 + 6x = (-4 * 2 + x * 2) + 31 -9 + 6x = (-8 + 2x) + 31 Reorder the terms: -9 + 6x = -8 + 31 + 2x Combine like terms: -8 + 31 = 23 -9 + 6x = 23 + 2x Solving -9 + 6x = 23 + 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. -9 + 6x + -2x = 23 + 2x + -2x Combine like terms: 6x + -2x = 4x -9 + 4x = 23 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 4x = 23 + 0 -9 + 4x = 23 Add '9' to each side of the equation. -9 + 9 + 4x = 23 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 23 + 9 4x = 23 + 9 Combine like terms: 23 + 9 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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