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Simplifying 5(x + -3) = 4(2x + 5) + -7 Reorder the terms: 5(-3 + x) = 4(2x + 5) + -7 (-3 * 5 + x * 5) = 4(2x + 5) + -7 (-15 + 5x) = 4(2x + 5) + -7 Reorder the terms: -15 + 5x = 4(5 + 2x) + -7 -15 + 5x = (5 * 4 + 2x * 4) + -7 -15 + 5x = (20 + 8x) + -7 Reorder the terms: -15 + 5x = 20 + -7 + 8x Combine like terms: 20 + -7 = 13 -15 + 5x = 13 + 8x Solving -15 + 5x = 13 + 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. -15 + 5x + -8x = 13 + 8x + -8x Combine like terms: 5x + -8x = -3x -15 + -3x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + -3x = 13 + 0 -15 + -3x = 13 Add '15' to each side of the equation. -15 + 15 + -3x = 13 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = 13 + 15 -3x = 13 + 15 Combine like terms: 13 + 15 = 28 -3x = 28 Divide each side by '-3'. x = -9.333333333 Simplifying x = -9.333333333
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