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Simplifying 6(5x + -4) + 9 = -2(2x + 8) + -30x Reorder the terms: 6(-4 + 5x) + 9 = -2(2x + 8) + -30x (-4 * 6 + 5x * 6) + 9 = -2(2x + 8) + -30x (-24 + 30x) + 9 = -2(2x + 8) + -30x Reorder the terms: -24 + 9 + 30x = -2(2x + 8) + -30x Combine like terms: -24 + 9 = -15 -15 + 30x = -2(2x + 8) + -30x Reorder the terms: -15 + 30x = -2(8 + 2x) + -30x -15 + 30x = (8 * -2 + 2x * -2) + -30x -15 + 30x = (-16 + -4x) + -30x Combine like terms: -4x + -30x = -34x -15 + 30x = -16 + -34x Solving -15 + 30x = -16 + -34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34x' to each side of the equation. -15 + 30x + 34x = -16 + -34x + 34x Combine like terms: 30x + 34x = 64x -15 + 64x = -16 + -34x + 34x Combine like terms: -34x + 34x = 0 -15 + 64x = -16 + 0 -15 + 64x = -16 Add '15' to each side of the equation. -15 + 15 + 64x = -16 + 15 Combine like terms: -15 + 15 = 0 0 + 64x = -16 + 15 64x = -16 + 15 Combine like terms: -16 + 15 = -1 64x = -1 Divide each side by '64'. x = -0.015625 Simplifying x = -0.015625
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