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Simplifying 5(x + 1) + 4(2x + -3) = 45 Reorder the terms: 5(1 + x) + 4(2x + -3) = 45 (1 * 5 + x * 5) + 4(2x + -3) = 45 (5 + 5x) + 4(2x + -3) = 45 Reorder the terms: 5 + 5x + 4(-3 + 2x) = 45 5 + 5x + (-3 * 4 + 2x * 4) = 45 5 + 5x + (-12 + 8x) = 45 Reorder the terms: 5 + -12 + 5x + 8x = 45 Combine like terms: 5 + -12 = -7 -7 + 5x + 8x = 45 Combine like terms: 5x + 8x = 13x -7 + 13x = 45 Solving -7 + 13x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 13x = 45 + 7 Combine like terms: -7 + 7 = 0 0 + 13x = 45 + 7 13x = 45 + 7 Combine like terms: 45 + 7 = 52 13x = 52 Divide each side by '13'. x = 4 Simplifying x = 4
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