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Simplifying -2x + 10(1 + 4x) + -2(-15x + 6) = 0 -2x + (1 * 10 + 4x * 10) + -2(-15x + 6) = 0 -2x + (10 + 40x) + -2(-15x + 6) = 0 Reorder the terms: -2x + 10 + 40x + -2(6 + -15x) = 0 -2x + 10 + 40x + (6 * -2 + -15x * -2) = 0 -2x + 10 + 40x + (-12 + 30x) = 0 Reorder the terms: 10 + -12 + -2x + 40x + 30x = 0 Combine like terms: 10 + -12 = -2 -2 + -2x + 40x + 30x = 0 Combine like terms: -2x + 40x = 38x -2 + 38x + 30x = 0 Combine like terms: 38x + 30x = 68x -2 + 68x = 0 Solving -2 + 68x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 68x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 68x = 0 + 2 68x = 0 + 2 Combine like terms: 0 + 2 = 2 68x = 2 Divide each side by '68'. x = 0.02941176471 Simplifying x = 0.02941176471
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