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Simplifying -30 = -3(x + -1) + 8(x + -6) Reorder the terms: -30 = -3(-1 + x) + 8(x + -6) -30 = (-1 * -3 + x * -3) + 8(x + -6) -30 = (3 + -3x) + 8(x + -6) Reorder the terms: -30 = 3 + -3x + 8(-6 + x) -30 = 3 + -3x + (-6 * 8 + x * 8) -30 = 3 + -3x + (-48 + 8x) Reorder the terms: -30 = 3 + -48 + -3x + 8x Combine like terms: 3 + -48 = -45 -30 = -45 + -3x + 8x Combine like terms: -3x + 8x = 5x -30 = -45 + 5x Solving -30 = -45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -30 + -5x = -45 + 5x + -5x Combine like terms: 5x + -5x = 0 -30 + -5x = -45 + 0 -30 + -5x = -45 Add '30' to each side of the equation. -30 + 30 + -5x = -45 + 30 Combine like terms: -30 + 30 = 0 0 + -5x = -45 + 30 -5x = -45 + 30 Combine like terms: -45 + 30 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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