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Simplifying 10x + 5(1 + 4x) = -6(x + -6) + 5x 10x + (1 * 5 + 4x * 5) = -6(x + -6) + 5x 10x + (5 + 20x) = -6(x + -6) + 5x Reorder the terms: 5 + 10x + 20x = -6(x + -6) + 5x Combine like terms: 10x + 20x = 30x 5 + 30x = -6(x + -6) + 5x Reorder the terms: 5 + 30x = -6(-6 + x) + 5x 5 + 30x = (-6 * -6 + x * -6) + 5x 5 + 30x = (36 + -6x) + 5x Combine like terms: -6x + 5x = -1x 5 + 30x = 36 + -1x Solving 5 + 30x = 36 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5 + 30x + x = 36 + -1x + x Combine like terms: 30x + x = 31x 5 + 31x = 36 + -1x + x Combine like terms: -1x + x = 0 5 + 31x = 36 + 0 5 + 31x = 36 Add '-5' to each side of the equation. 5 + -5 + 31x = 36 + -5 Combine like terms: 5 + -5 = 0 0 + 31x = 36 + -5 31x = 36 + -5 Combine like terms: 36 + -5 = 31 31x = 31 Divide each side by '31'. x = 1 Simplifying x = 1
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