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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 Add '15x' to each side of the equation. 6 + -15x + 15x = 1 + -15x + 15x Combine like terms: -15x + 15x = 0 6 + 0 = 1 + -15x + 15x 6 = 1 + -15x + 15x Combine like terms: -15x + 15x = 0 6 = 1 + 0 6 = 1 Solving 6 = 1 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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