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Simplifying -4x + 5(2 + x) + -7 = 4(x + -3) + -3(x + 1) -4x + (2 * 5 + x * 5) + -7 = 4(x + -3) + -3(x + 1) -4x + (10 + 5x) + -7 = 4(x + -3) + -3(x + 1) Reorder the terms: 10 + -7 + -4x + 5x = 4(x + -3) + -3(x + 1) Combine like terms: 10 + -7 = 3 3 + -4x + 5x = 4(x + -3) + -3(x + 1) Combine like terms: -4x + 5x = 1x 3 + 1x = 4(x + -3) + -3(x + 1) Reorder the terms: 3 + 1x = 4(-3 + x) + -3(x + 1) 3 + 1x = (-3 * 4 + x * 4) + -3(x + 1) 3 + 1x = (-12 + 4x) + -3(x + 1) Reorder the terms: 3 + 1x = -12 + 4x + -3(1 + x) 3 + 1x = -12 + 4x + (1 * -3 + x * -3) 3 + 1x = -12 + 4x + (-3 + -3x) Reorder the terms: 3 + 1x = -12 + -3 + 4x + -3x Combine like terms: -12 + -3 = -15 3 + 1x = -15 + 4x + -3x Combine like terms: 4x + -3x = 1x 3 + 1x = -15 + 1x Add '-1x' to each side of the equation. 3 + 1x + -1x = -15 + 1x + -1x Combine like terms: 1x + -1x = 0 3 + 0 = -15 + 1x + -1x 3 = -15 + 1x + -1x Combine like terms: 1x + -1x = 0 3 = -15 + 0 3 = -15 Solving 3 = -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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