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Simplifying 8x + 4 + -2(1 + x) = 3(x + -6) + 10x 8x + 4 + (1 * -2 + x * -2) = 3(x + -6) + 10x 8x + 4 + (-2 + -2x) = 3(x + -6) + 10x Reorder the terms: 4 + -2 + 8x + -2x = 3(x + -6) + 10x Combine like terms: 4 + -2 = 2 2 + 8x + -2x = 3(x + -6) + 10x Combine like terms: 8x + -2x = 6x 2 + 6x = 3(x + -6) + 10x Reorder the terms: 2 + 6x = 3(-6 + x) + 10x 2 + 6x = (-6 * 3 + x * 3) + 10x 2 + 6x = (-18 + 3x) + 10x Combine like terms: 3x + 10x = 13x 2 + 6x = -18 + 13x Solving 2 + 6x = -18 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 2 + 6x + -13x = -18 + 13x + -13x Combine like terms: 6x + -13x = -7x 2 + -7x = -18 + 13x + -13x Combine like terms: 13x + -13x = 0 2 + -7x = -18 + 0 2 + -7x = -18 Add '-2' to each side of the equation. 2 + -2 + -7x = -18 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = -18 + -2 -7x = -18 + -2 Combine like terms: -18 + -2 = -20 -7x = -20 Divide each side by '-7'. x = 2.857142857 Simplifying x = 2.857142857
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