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Simplifying 2(3x + 4) + -5x = 2x + -8 Reorder the terms: 2(4 + 3x) + -5x = 2x + -8 (4 * 2 + 3x * 2) + -5x = 2x + -8 (8 + 6x) + -5x = 2x + -8 Combine like terms: 6x + -5x = 1x 8 + 1x = 2x + -8 Reorder the terms: 8 + 1x = -8 + 2x Solving 8 + 1x = -8 + 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 + 1x + -2x = -8 + 2x + -2x Combine like terms: 1x + -2x = -1x 8 + -1x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -1x = -8 + 0 8 + -1x = -8 Add '-8' to each side of the equation. 8 + -8 + -1x = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = -8 + -8 -1x = -8 + -8 Combine like terms: -8 + -8 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16
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