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Simplifying 2x + 6(4) = 3x + -2(4) Multiply 6 * 4 2x + 24 = 3x + -2(4) Reorder the terms: 24 + 2x = 3x + -2(4) Multiply -2 * 4 24 + 2x = 3x + -8 Reorder the terms: 24 + 2x = -8 + 3x Solving 24 + 2x = -8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 24 + 2x + -3x = -8 + 3x + -3x Combine like terms: 2x + -3x = -1x 24 + -1x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + -1x = -8 + 0 24 + -1x = -8 Add '-24' to each side of the equation. 24 + -24 + -1x = -8 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = -8 + -24 -1x = -8 + -24 Combine like terms: -8 + -24 = -32 -1x = -32 Divide each side by '-1'. x = 32 Simplifying x = 32
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