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Simplifying 5(x + -2) + 3 = 8(x + 3) Reorder the terms: 5(-2 + x) + 3 = 8(x + 3) (-2 * 5 + x * 5) + 3 = 8(x + 3) (-10 + 5x) + 3 = 8(x + 3) Reorder the terms: -10 + 3 + 5x = 8(x + 3) Combine like terms: -10 + 3 = -7 -7 + 5x = 8(x + 3) Reorder the terms: -7 + 5x = 8(3 + x) -7 + 5x = (3 * 8 + x * 8) -7 + 5x = (24 + 8x) Solving -7 + 5x = 24 + 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 = 24 + 8x + -8x Combine like terms: 5x + -8x = -3x -7 + -3x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -3x = 24 + 0 -7 + -3x = 24 Add '7' to each side of the equation. -7 + 7 + -3x = 24 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 24 + 7 -3x = 24 + 7 Combine like terms: 24 + 7 = 31 -3x = 31 Divide each side by '-3'. x = -10.33333333 Simplifying x = -10.33333333
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