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Simplifying 8(x + -3) + -6 = 2(x + 2) + -2(-3) Reorder the terms: 8(-3 + x) + -6 = 2(x + 2) + -2(-3) (-3 * 8 + x * 8) + -6 = 2(x + 2) + -2(-3) (-24 + 8x) + -6 = 2(x + 2) + -2(-3) Reorder the terms: -24 + -6 + 8x = 2(x + 2) + -2(-3) Combine like terms: -24 + -6 = -30 -30 + 8x = 2(x + 2) + -2(-3) Reorder the terms: -30 + 8x = 2(2 + x) + -2(-3) -30 + 8x = (2 * 2 + x * 2) + -2(-3) -30 + 8x = (4 + 2x) + -2(-3) Multiply -2 * -3 -30 + 8x = 4 + 2x + 6 Reorder the terms: -30 + 8x = 4 + 6 + 2x Combine like terms: 4 + 6 = 10 -30 + 8x = 10 + 2x Solving -30 + 8x = 10 + 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. -30 + 8x + -2x = 10 + 2x + -2x Combine like terms: 8x + -2x = 6x -30 + 6x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + 6x = 10 + 0 -30 + 6x = 10 Add '30' to each side of the equation. -30 + 30 + 6x = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 6x = 10 + 30 6x = 10 + 30 Combine like terms: 10 + 30 = 40 6x = 40 Divide each side by '6'. x = 6.666666667 Simplifying x = 6.666666667
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