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Simplifying 5(-2x + 1) + 4(3x + -2) = 2(4x + -3) Reorder the terms: 5(1 + -2x) + 4(3x + -2) = 2(4x + -3) (1 * 5 + -2x * 5) + 4(3x + -2) = 2(4x + -3) (5 + -10x) + 4(3x + -2) = 2(4x + -3) Reorder the terms: 5 + -10x + 4(-2 + 3x) = 2(4x + -3) 5 + -10x + (-2 * 4 + 3x * 4) = 2(4x + -3) 5 + -10x + (-8 + 12x) = 2(4x + -3) Reorder the terms: 5 + -8 + -10x + 12x = 2(4x + -3) Combine like terms: 5 + -8 = -3 -3 + -10x + 12x = 2(4x + -3) Combine like terms: -10x + 12x = 2x -3 + 2x = 2(4x + -3) Reorder the terms: -3 + 2x = 2(-3 + 4x) -3 + 2x = (-3 * 2 + 4x * 2) -3 + 2x = (-6 + 8x) Solving -3 + 2x = -6 + 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. -3 + 2x + -8x = -6 + 8x + -8x Combine like terms: 2x + -8x = -6x -3 + -6x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -6x = -6 + 0 -3 + -6x = -6 Add '3' to each side of the equation. -3 + 3 + -6x = -6 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = -6 + 3 -6x = -6 + 3 Combine like terms: -6 + 3 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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