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Simplifying 2(x + -4) + 5(x + -3) = 4(3x + 2) Reorder the terms: 2(-4 + x) + 5(x + -3) = 4(3x + 2) (-4 * 2 + x * 2) + 5(x + -3) = 4(3x + 2) (-8 + 2x) + 5(x + -3) = 4(3x + 2) Reorder the terms: -8 + 2x + 5(-3 + x) = 4(3x + 2) -8 + 2x + (-3 * 5 + x * 5) = 4(3x + 2) -8 + 2x + (-15 + 5x) = 4(3x + 2) Reorder the terms: -8 + -15 + 2x + 5x = 4(3x + 2) Combine like terms: -8 + -15 = -23 -23 + 2x + 5x = 4(3x + 2) Combine like terms: 2x + 5x = 7x -23 + 7x = 4(3x + 2) Reorder the terms: -23 + 7x = 4(2 + 3x) -23 + 7x = (2 * 4 + 3x * 4) -23 + 7x = (8 + 12x) Solving -23 + 7x = 8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -23 + 7x + -12x = 8 + 12x + -12x Combine like terms: 7x + -12x = -5x -23 + -5x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 -23 + -5x = 8 + 0 -23 + -5x = 8 Add '23' to each side of the equation. -23 + 23 + -5x = 8 + 23 Combine like terms: -23 + 23 = 0 0 + -5x = 8 + 23 -5x = 8 + 23 Combine like terms: 8 + 23 = 31 -5x = 31 Divide each side by '-5'. x = -6.2 Simplifying x = -6.2
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