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Simplifying 3(x + -3) = 8(x + -2) + -5 Reorder the terms: 3(-3 + x) = 8(x + -2) + -5 (-3 * 3 + x * 3) = 8(x + -2) + -5 (-9 + 3x) = 8(x + -2) + -5 Reorder the terms: -9 + 3x = 8(-2 + x) + -5 -9 + 3x = (-2 * 8 + x * 8) + -5 -9 + 3x = (-16 + 8x) + -5 Reorder the terms: -9 + 3x = -16 + -5 + 8x Combine like terms: -16 + -5 = -21 -9 + 3x = -21 + 8x Solving -9 + 3x = -21 + 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. -9 + 3x + -8x = -21 + 8x + -8x Combine like terms: 3x + -8x = -5x -9 + -5x = -21 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + -5x = -21 + 0 -9 + -5x = -21 Add '9' to each side of the equation. -9 + 9 + -5x = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = -21 + 9 -5x = -21 + 9 Combine like terms: -21 + 9 = -12 -5x = -12 Divide each side by '-5'. x = 2.4 Simplifying x = 2.4
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