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Simplifying 8x + -30 = -5 + -3(-3x + 6) Reorder the terms: -30 + 8x = -5 + -3(-3x + 6) Reorder the terms: -30 + 8x = -5 + -3(6 + -3x) -30 + 8x = -5 + (6 * -3 + -3x * -3) -30 + 8x = -5 + (-18 + 9x) Combine like terms: -5 + -18 = -23 -30 + 8x = -23 + 9x Solving -30 + 8x = -23 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -30 + 8x + -9x = -23 + 9x + -9x Combine like terms: 8x + -9x = -1x -30 + -1x = -23 + 9x + -9x Combine like terms: 9x + -9x = 0 -30 + -1x = -23 + 0 -30 + -1x = -23 Add '30' to each side of the equation. -30 + 30 + -1x = -23 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = -23 + 30 -1x = -23 + 30 Combine like terms: -23 + 30 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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