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Simplifying 3x + 5 + -2x = 4(x + -3) + -3(x + 7) Reorder the terms: 5 + 3x + -2x = 4(x + -3) + -3(x + 7) Combine like terms: 3x + -2x = 1x 5 + 1x = 4(x + -3) + -3(x + 7) Reorder the terms: 5 + 1x = 4(-3 + x) + -3(x + 7) 5 + 1x = (-3 * 4 + x * 4) + -3(x + 7) 5 + 1x = (-12 + 4x) + -3(x + 7) Reorder the terms: 5 + 1x = -12 + 4x + -3(7 + x) 5 + 1x = -12 + 4x + (7 * -3 + x * -3) 5 + 1x = -12 + 4x + (-21 + -3x) Reorder the terms: 5 + 1x = -12 + -21 + 4x + -3x Combine like terms: -12 + -21 = -33 5 + 1x = -33 + 4x + -3x Combine like terms: 4x + -3x = 1x 5 + 1x = -33 + 1x Add '-1x' to each side of the equation. 5 + 1x + -1x = -33 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + 0 = -33 + 1x + -1x 5 = -33 + 1x + -1x Combine like terms: 1x + -1x = 0 5 = -33 + 0 5 = -33 Solving 5 = -33 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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