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Simplifying 8(2x + -3) + -2x = 12 + -1(5 + -6x) Reorder the terms: 8(-3 + 2x) + -2x = 12 + -1(5 + -6x) (-3 * 8 + 2x * 8) + -2x = 12 + -1(5 + -6x) (-24 + 16x) + -2x = 12 + -1(5 + -6x) Combine like terms: 16x + -2x = 14x -24 + 14x = 12 + -1(5 + -6x) -24 + 14x = 12 + (5 * -1 + -6x * -1) -24 + 14x = 12 + (-5 + 6x) Combine like terms: 12 + -5 = 7 -24 + 14x = 7 + 6x Solving -24 + 14x = 7 + 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. -24 + 14x + -6x = 7 + 6x + -6x Combine like terms: 14x + -6x = 8x -24 + 8x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 8x = 7 + 0 -24 + 8x = 7 Add '24' to each side of the equation. -24 + 24 + 8x = 7 + 24 Combine like terms: -24 + 24 = 0 0 + 8x = 7 + 24 8x = 7 + 24 Combine like terms: 7 + 24 = 31 8x = 31 Divide each side by '8'. x = 3.875 Simplifying x = 3.875
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