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Simplifying 3x + 4 + -1x + 8 = 3(2x + -1) + 8 Reorder the terms: 4 + 8 + 3x + -1x = 3(2x + -1) + 8 Combine like terms: 4 + 8 = 12 12 + 3x + -1x = 3(2x + -1) + 8 Combine like terms: 3x + -1x = 2x 12 + 2x = 3(2x + -1) + 8 Reorder the terms: 12 + 2x = 3(-1 + 2x) + 8 12 + 2x = (-1 * 3 + 2x * 3) + 8 12 + 2x = (-3 + 6x) + 8 Reorder the terms: 12 + 2x = -3 + 8 + 6x Combine like terms: -3 + 8 = 5 12 + 2x = 5 + 6x Solving 12 + 2x = 5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 2x + -6x = 5 + 6x + -6x Combine like terms: 2x + -6x = -4x 12 + -4x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -4x = 5 + 0 12 + -4x = 5 Add '-12' to each side of the equation. 12 + -12 + -4x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 5 + -12 -4x = 5 + -12 Combine like terms: 5 + -12 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75
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