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Simplifying 6(5x + -4) + -30(x + 1) = 5x + 6 Reorder the terms: 6(-4 + 5x) + -30(x + 1) = 5x + 6 (-4 * 6 + 5x * 6) + -30(x + 1) = 5x + 6 (-24 + 30x) + -30(x + 1) = 5x + 6 Reorder the terms: -24 + 30x + -30(1 + x) = 5x + 6 -24 + 30x + (1 * -30 + x * -30) = 5x + 6 -24 + 30x + (-30 + -30x) = 5x + 6 Reorder the terms: -24 + -30 + 30x + -30x = 5x + 6 Combine like terms: -24 + -30 = -54 -54 + 30x + -30x = 5x + 6 Combine like terms: 30x + -30x = 0 -54 + 0 = 5x + 6 -54 = 5x + 6 Reorder the terms: -54 = 6 + 5x Solving -54 = 6 + 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. -54 + -5x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -54 + -5x = 6 + 0 -54 + -5x = 6 Add '54' to each side of the equation. -54 + 54 + -5x = 6 + 54 Combine like terms: -54 + 54 = 0 0 + -5x = 6 + 54 -5x = 6 + 54 Combine like terms: 6 + 54 = 60 -5x = 60 Divide each side by '-5'. x = -12 Simplifying x = -12
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