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Simplifying 5x + 4 + -2(-5x + -4) = 3(x + -2) Reorder the terms: 5x + 4 + -2(-4 + -5x) = 3(x + -2) 5x + 4 + (-4 * -2 + -5x * -2) = 3(x + -2) 5x + 4 + (8 + 10x) = 3(x + -2) Reorder the terms: 4 + 8 + 5x + 10x = 3(x + -2) Combine like terms: 4 + 8 = 12 12 + 5x + 10x = 3(x + -2) Combine like terms: 5x + 10x = 15x 12 + 15x = 3(x + -2) Reorder the terms: 12 + 15x = 3(-2 + x) 12 + 15x = (-2 * 3 + x * 3) 12 + 15x = (-6 + 3x) Solving 12 + 15x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 15x + -3x = -6 + 3x + -3x Combine like terms: 15x + -3x = 12x 12 + 12x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 12x = -6 + 0 12 + 12x = -6 Add '-12' to each side of the equation. 12 + -12 + 12x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 12x = -6 + -12 12x = -6 + -12 Combine like terms: -6 + -12 = -18 12x = -18 Divide each side by '12'. x = -1.5 Simplifying x = -1.5
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