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Simplifying 7(3x + -2) + -8(2x + -1) = 12 + -1x Reorder the terms: 7(-2 + 3x) + -8(2x + -1) = 12 + -1x (-2 * 7 + 3x * 7) + -8(2x + -1) = 12 + -1x (-14 + 21x) + -8(2x + -1) = 12 + -1x Reorder the terms: -14 + 21x + -8(-1 + 2x) = 12 + -1x -14 + 21x + (-1 * -8 + 2x * -8) = 12 + -1x -14 + 21x + (8 + -16x) = 12 + -1x Reorder the terms: -14 + 8 + 21x + -16x = 12 + -1x Combine like terms: -14 + 8 = -6 -6 + 21x + -16x = 12 + -1x Combine like terms: 21x + -16x = 5x -6 + 5x = 12 + -1x Solving -6 + 5x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + 5x + x = 12 + -1x + x Combine like terms: 5x + x = 6x -6 + 6x = 12 + -1x + x Combine like terms: -1x + x = 0 -6 + 6x = 12 + 0 -6 + 6x = 12 Add '6' to each side of the equation. -6 + 6 + 6x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 12 + 6 6x = 12 + 6 Combine like terms: 12 + 6 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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