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Simplifying 6(x + 3) + -2(x + -5) = x + 3(x + -5) Reorder the terms: 6(3 + x) + -2(x + -5) = x + 3(x + -5) (3 * 6 + x * 6) + -2(x + -5) = x + 3(x + -5) (18 + 6x) + -2(x + -5) = x + 3(x + -5) Reorder the terms: 18 + 6x + -2(-5 + x) = x + 3(x + -5) 18 + 6x + (-5 * -2 + x * -2) = x + 3(x + -5) 18 + 6x + (10 + -2x) = x + 3(x + -5) Reorder the terms: 18 + 10 + 6x + -2x = x + 3(x + -5) Combine like terms: 18 + 10 = 28 28 + 6x + -2x = x + 3(x + -5) Combine like terms: 6x + -2x = 4x 28 + 4x = x + 3(x + -5) Reorder the terms: 28 + 4x = x + 3(-5 + x) 28 + 4x = x + (-5 * 3 + x * 3) 28 + 4x = x + (-15 + 3x) Reorder the terms: 28 + 4x = -15 + x + 3x Combine like terms: x + 3x = 4x 28 + 4x = -15 + 4x Add '-4x' to each side of the equation. 28 + 4x + -4x = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 28 + 0 = -15 + 4x + -4x 28 = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 28 = -15 + 0 28 = -15 Solving 28 = -15 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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