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Simplifying 3(x + -1) + 5(2x + -3) = 8x + 7 Reorder the terms: 3(-1 + x) + 5(2x + -3) = 8x + 7 (-1 * 3 + x * 3) + 5(2x + -3) = 8x + 7 (-3 + 3x) + 5(2x + -3) = 8x + 7 Reorder the terms: -3 + 3x + 5(-3 + 2x) = 8x + 7 -3 + 3x + (-3 * 5 + 2x * 5) = 8x + 7 -3 + 3x + (-15 + 10x) = 8x + 7 Reorder the terms: -3 + -15 + 3x + 10x = 8x + 7 Combine like terms: -3 + -15 = -18 -18 + 3x + 10x = 8x + 7 Combine like terms: 3x + 10x = 13x -18 + 13x = 8x + 7 Reorder the terms: -18 + 13x = 7 + 8x Solving -18 + 13x = 7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -18 + 13x + -8x = 7 + 8x + -8x Combine like terms: 13x + -8x = 5x -18 + 5x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + 5x = 7 + 0 -18 + 5x = 7 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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