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Simplifying 5x + 2(1 + -3x) = 6(x + 5) 5x + (1 * 2 + -3x * 2) = 6(x + 5) 5x + (2 + -6x) = 6(x + 5) Reorder the terms: 2 + 5x + -6x = 6(x + 5) Combine like terms: 5x + -6x = -1x 2 + -1x = 6(x + 5) Reorder the terms: 2 + -1x = 6(5 + x) 2 + -1x = (5 * 6 + x * 6) 2 + -1x = (30 + 6x) Solving 2 + -1x = 30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + -1x + -6x = 30 + 6x + -6x Combine like terms: -1x + -6x = -7x 2 + -7x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -7x = 30 + 0 2 + -7x = 30 Add '-2' to each side of the equation. 2 + -2 + -7x = 30 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 30 + -2 -7x = 30 + -2 Combine like terms: 30 + -2 = 28 -7x = 28 Divide each side by '-7'. x = -4 Simplifying x = -4
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