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Simplifying 2(5x + -3) + -3(5x + 4) = 7 Reorder the terms: 2(-3 + 5x) + -3(5x + 4) = 7 (-3 * 2 + 5x * 2) + -3(5x + 4) = 7 (-6 + 10x) + -3(5x + 4) = 7 Reorder the terms: -6 + 10x + -3(4 + 5x) = 7 -6 + 10x + (4 * -3 + 5x * -3) = 7 -6 + 10x + (-12 + -15x) = 7 Reorder the terms: -6 + -12 + 10x + -15x = 7 Combine like terms: -6 + -12 = -18 -18 + 10x + -15x = 7 Combine like terms: 10x + -15x = -5x -18 + -5x = 7 Solving -18 + -5x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -5x = 7 + 18 Combine like terms: -18 + 18 = 0 0 + -5x = 7 + 18 -5x = 7 + 18 Combine like terms: 7 + 18 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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