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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 = 7 7 + 2x + 5x = 4(3x + 2) Combine like terms: 2x + 5x = 7x 7 + 7x = 4(3x + 2) Reorder the terms: 7 + 7x = 4(2 + 3x) 7 + 7x = (2 * 4 + 3x * 4) 7 + 7x = (8 + 12x) Solving 7 + 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. 7 + 7x + -12x = 8 + 12x + -12x Combine like terms: 7x + -12x = -5x 7 + -5x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + -5x = 8 + 0 7 + -5x = 8 Add '-7' to each side of the equation. 7 + -7 + -5x = 8 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 8 + -7 -5x = 8 + -7 Combine like terms: 8 + -7 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2
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