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Simplifying 7(x + 4) + 3 = 10x + -3(x + -4) Reorder the terms: 7(4 + x) + 3 = 10x + -3(x + -4) (4 * 7 + x * 7) + 3 = 10x + -3(x + -4) (28 + 7x) + 3 = 10x + -3(x + -4) Reorder the terms: 28 + 3 + 7x = 10x + -3(x + -4) Combine like terms: 28 + 3 = 31 31 + 7x = 10x + -3(x + -4) Reorder the terms: 31 + 7x = 10x + -3(-4 + x) 31 + 7x = 10x + (-4 * -3 + x * -3) 31 + 7x = 10x + (12 + -3x) Reorder the terms: 31 + 7x = 12 + 10x + -3x Combine like terms: 10x + -3x = 7x 31 + 7x = 12 + 7x Add '-7x' to each side of the equation. 31 + 7x + -7x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 31 + 0 = 12 + 7x + -7x 31 = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 31 = 12 + 0 31 = 12 Solving 31 = 12 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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