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Simplifying 5(x + -2) + 3 = 8(x + 3) + -4 Reorder the terms: 5(-2 + x) + 3 = 8(x + 3) + -4 (-2 * 5 + x * 5) + 3 = 8(x + 3) + -4 (-10 + 5x) + 3 = 8(x + 3) + -4 Reorder the terms: -10 + 3 + 5x = 8(x + 3) + -4 Combine like terms: -10 + 3 = -7 -7 + 5x = 8(x + 3) + -4 Reorder the terms: -7 + 5x = 8(3 + x) + -4 -7 + 5x = (3 * 8 + x * 8) + -4 -7 + 5x = (24 + 8x) + -4 Reorder the terms: -7 + 5x = 24 + -4 + 8x Combine like terms: 24 + -4 = 20 -7 + 5x = 20 + 8x Solving -7 + 5x = 20 + 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. -7 + 5x + -8x = 20 + 8x + -8x Combine like terms: 5x + -8x = -3x -7 + -3x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -3x = 20 + 0 -7 + -3x = 20 Add '7' to each side of the equation. -7 + 7 + -3x = 20 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 20 + 7 -3x = 20 + 7 Combine like terms: 20 + 7 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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