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Simplifying 8(x + -2) + -6x = 12 + -1(8x + -7) Reorder the terms: 8(-2 + x) + -6x = 12 + -1(8x + -7) (-2 * 8 + x * 8) + -6x = 12 + -1(8x + -7) (-16 + 8x) + -6x = 12 + -1(8x + -7) Combine like terms: 8x + -6x = 2x -16 + 2x = 12 + -1(8x + -7) Reorder the terms: -16 + 2x = 12 + -1(-7 + 8x) -16 + 2x = 12 + (-7 * -1 + 8x * -1) -16 + 2x = 12 + (7 + -8x) Combine like terms: 12 + 7 = 19 -16 + 2x = 19 + -8x Solving -16 + 2x = 19 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -16 + 2x + 8x = 19 + -8x + 8x Combine like terms: 2x + 8x = 10x -16 + 10x = 19 + -8x + 8x Combine like terms: -8x + 8x = 0 -16 + 10x = 19 + 0 -16 + 10x = 19 Add '16' to each side of the equation. -16 + 16 + 10x = 19 + 16 Combine like terms: -16 + 16 = 0 0 + 10x = 19 + 16 10x = 19 + 16 Combine like terms: 19 + 16 = 35 10x = 35 Divide each side by '10'. x = 3.5 Simplifying x = 3.5
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