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Simplifying 4x + 6(8 + x) = 8(x + -2) + -2(7 + -1x) 4x + (8 * 6 + x * 6) = 8(x + -2) + -2(7 + -1x) 4x + (48 + 6x) = 8(x + -2) + -2(7 + -1x) Reorder the terms: 48 + 4x + 6x = 8(x + -2) + -2(7 + -1x) Combine like terms: 4x + 6x = 10x 48 + 10x = 8(x + -2) + -2(7 + -1x) Reorder the terms: 48 + 10x = 8(-2 + x) + -2(7 + -1x) 48 + 10x = (-2 * 8 + x * 8) + -2(7 + -1x) 48 + 10x = (-16 + 8x) + -2(7 + -1x) 48 + 10x = -16 + 8x + (7 * -2 + -1x * -2) 48 + 10x = -16 + 8x + (-14 + 2x) Reorder the terms: 48 + 10x = -16 + -14 + 8x + 2x Combine like terms: -16 + -14 = -30 48 + 10x = -30 + 8x + 2x Combine like terms: 8x + 2x = 10x 48 + 10x = -30 + 10x Add '-10x' to each side of the equation. 48 + 10x + -10x = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 48 + 0 = -30 + 10x + -10x 48 = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 48 = -30 + 0 48 = -30 Solving 48 = -30 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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