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Simplifying -6(2x + 1) + -3(x + -4) = 15x + 1 Reorder the terms: -6(1 + 2x) + -3(x + -4) = 15x + 1 (1 * -6 + 2x * -6) + -3(x + -4) = 15x + 1 (-6 + -12x) + -3(x + -4) = 15x + 1 Reorder the terms: -6 + -12x + -3(-4 + x) = 15x + 1 -6 + -12x + (-4 * -3 + x * -3) = 15x + 1 -6 + -12x + (12 + -3x) = 15x + 1 Reorder the terms: -6 + 12 + -12x + -3x = 15x + 1 Combine like terms: -6 + 12 = 6 6 + -12x + -3x = 15x + 1 Combine like terms: -12x + -3x = -15x 6 + -15x = 15x + 1 Reorder the terms: 6 + -15x = 1 + 15x Solving 6 + -15x = 1 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 6 + -15x + -15x = 1 + 15x + -15x Combine like terms: -15x + -15x = -30x 6 + -30x = 1 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -30x = 1 + 0 6 + -30x = 1 Add '-6' to each side of the equation. 6 + -6 + -30x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -30x = 1 + -6 -30x = 1 + -6 Combine like terms: 1 + -6 = -5 -30x = -5 Divide each side by '-30'. x = 0.1666666667 Simplifying x = 0.1666666667
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