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Simplifying 4(2x + -5) + -2x = 3 + -2(x + 4) Reorder the terms: 4(-5 + 2x) + -2x = 3 + -2(x + 4) (-5 * 4 + 2x * 4) + -2x = 3 + -2(x + 4) (-20 + 8x) + -2x = 3 + -2(x + 4) Combine like terms: 8x + -2x = 6x -20 + 6x = 3 + -2(x + 4) Reorder the terms: -20 + 6x = 3 + -2(4 + x) -20 + 6x = 3 + (4 * -2 + x * -2) -20 + 6x = 3 + (-8 + -2x) Combine like terms: 3 + -8 = -5 -20 + 6x = -5 + -2x Solving -20 + 6x = -5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -20 + 6x + 2x = -5 + -2x + 2x Combine like terms: 6x + 2x = 8x -20 + 8x = -5 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + 8x = -5 + 0 -20 + 8x = -5 Add '20' to each side of the equation. -20 + 20 + 8x = -5 + 20 Combine like terms: -20 + 20 = 0 0 + 8x = -5 + 20 8x = -5 + 20 Combine like terms: -5 + 20 = 15 8x = 15 Divide each side by '8'. x = 1.875 Simplifying x = 1.875
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