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Simplifying -3x + -30(x + 2) = -4(8x + 6) Reorder the terms: -3x + -30(2 + x) = -4(8x + 6) -3x + (2 * -30 + x * -30) = -4(8x + 6) -3x + (-60 + -30x) = -4(8x + 6) Reorder the terms: -60 + -3x + -30x = -4(8x + 6) Combine like terms: -3x + -30x = -33x -60 + -33x = -4(8x + 6) Reorder the terms: -60 + -33x = -4(6 + 8x) -60 + -33x = (6 * -4 + 8x * -4) -60 + -33x = (-24 + -32x) Solving -60 + -33x = -24 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -60 + -33x + 32x = -24 + -32x + 32x Combine like terms: -33x + 32x = -1x -60 + -1x = -24 + -32x + 32x Combine like terms: -32x + 32x = 0 -60 + -1x = -24 + 0 -60 + -1x = -24 Add '60' to each side of the equation. -60 + 60 + -1x = -24 + 60 Combine like terms: -60 + 60 = 0 0 + -1x = -24 + 60 -1x = -24 + 60 Combine like terms: -24 + 60 = 36 -1x = 36 Divide each side by '-1'. x = -36 Simplifying x = -36
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