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Simplifying -30 = 6(x + 4) + 6(10x + -9) Reorder the terms: -30 = 6(4 + x) + 6(10x + -9) -30 = (4 * 6 + x * 6) + 6(10x + -9) -30 = (24 + 6x) + 6(10x + -9) Reorder the terms: -30 = 24 + 6x + 6(-9 + 10x) -30 = 24 + 6x + (-9 * 6 + 10x * 6) -30 = 24 + 6x + (-54 + 60x) Reorder the terms: -30 = 24 + -54 + 6x + 60x Combine like terms: 24 + -54 = -30 -30 = -30 + 6x + 60x Combine like terms: 6x + 60x = 66x -30 = -30 + 66x Add '30' to each side of the equation. -30 + 30 = -30 + 30 + 66x Combine like terms: -30 + 30 = 0 0 = -30 + 30 + 66x Combine like terms: -30 + 30 = 0 0 = 0 + 66x 0 = 66x Solving 0 = 66x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-66x' to each side of the equation. 0 + -66x = 66x + -66x Remove the zero: -66x = 66x + -66x Combine like terms: 66x + -66x = 0 -66x = 0 Divide each side by '-66'. x = 0 Simplifying x = 0
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