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Simplifying 3x + 2(x + -4) = 2(x + -6) + 5 Reorder the terms: 3x + 2(-4 + x) = 2(x + -6) + 5 3x + (-4 * 2 + x * 2) = 2(x + -6) + 5 3x + (-8 + 2x) = 2(x + -6) + 5 Reorder the terms: -8 + 3x + 2x = 2(x + -6) + 5 Combine like terms: 3x + 2x = 5x -8 + 5x = 2(x + -6) + 5 Reorder the terms: -8 + 5x = 2(-6 + x) + 5 -8 + 5x = (-6 * 2 + x * 2) + 5 -8 + 5x = (-12 + 2x) + 5 Reorder the terms: -8 + 5x = -12 + 5 + 2x Combine like terms: -12 + 5 = -7 -8 + 5x = -7 + 2x Solving -8 + 5x = -7 + 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. -8 + 5x + -2x = -7 + 2x + -2x Combine like terms: 5x + -2x = 3x -8 + 3x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 3x = -7 + 0 -8 + 3x = -7 Add '8' to each side of the equation. -8 + 8 + 3x = -7 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = -7 + 8 3x = -7 + 8 Combine like terms: -7 + 8 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333
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