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Simplifying 5(2x + 7) + -3(3x + 4) = 7 Reorder the terms: 5(7 + 2x) + -3(3x + 4) = 7 (7 * 5 + 2x * 5) + -3(3x + 4) = 7 (35 + 10x) + -3(3x + 4) = 7 Reorder the terms: 35 + 10x + -3(4 + 3x) = 7 35 + 10x + (4 * -3 + 3x * -3) = 7 35 + 10x + (-12 + -9x) = 7 Reorder the terms: 35 + -12 + 10x + -9x = 7 Combine like terms: 35 + -12 = 23 23 + 10x + -9x = 7 Combine like terms: 10x + -9x = 1x 23 + 1x = 7 Solving 23 + 1x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 1x = 7 + -23 Combine like terms: 23 + -23 = 0 0 + 1x = 7 + -23 1x = 7 + -23 Combine like terms: 7 + -23 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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