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Simplifying 2(x + -4) = 5(x + -3) + 3 Reorder the terms: 2(-4 + x) = 5(x + -3) + 3 (-4 * 2 + x * 2) = 5(x + -3) + 3 (-8 + 2x) = 5(x + -3) + 3 Reorder the terms: -8 + 2x = 5(-3 + x) + 3 -8 + 2x = (-3 * 5 + x * 5) + 3 -8 + 2x = (-15 + 5x) + 3 Reorder the terms: -8 + 2x = -15 + 3 + 5x Combine like terms: -15 + 3 = -12 -8 + 2x = -12 + 5x Solving -8 + 2x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + 2x + -5x = -12 + 5x + -5x Combine like terms: 2x + -5x = -3x -8 + -3x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -3x = -12 + 0 -8 + -3x = -12 Add '8' to each side of the equation. -8 + 8 + -3x = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = -12 + 8 -3x = -12 + 8 Combine like terms: -12 + 8 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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