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Simplifying 4(x + -2) = 5(2 + -3x) Reorder the terms: 4(-2 + x) = 5(2 + -3x) (-2 * 4 + x * 4) = 5(2 + -3x) (-8 + 4x) = 5(2 + -3x) -8 + 4x = (2 * 5 + -3x * 5) -8 + 4x = (10 + -15x) Solving -8 + 4x = 10 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -8 + 4x + 15x = 10 + -15x + 15x Combine like terms: 4x + 15x = 19x -8 + 19x = 10 + -15x + 15x Combine like terms: -15x + 15x = 0 -8 + 19x = 10 + 0 -8 + 19x = 10 Add '8' to each side of the equation. -8 + 8 + 19x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 19x = 10 + 8 19x = 10 + 8 Combine like terms: 10 + 8 = 18 19x = 18 Divide each side by '19'. x = 0.9473684211 Simplifying x = 0.9473684211
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