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Simplifying 2x + -3 = 4(x + 5) + -2 Reorder the terms: -3 + 2x = 4(x + 5) + -2 Reorder the terms: -3 + 2x = 4(5 + x) + -2 -3 + 2x = (5 * 4 + x * 4) + -2 -3 + 2x = (20 + 4x) + -2 Reorder the terms: -3 + 2x = 20 + -2 + 4x Combine like terms: 20 + -2 = 18 -3 + 2x = 18 + 4x Solving -3 + 2x = 18 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -3 + 2x + -4x = 18 + 4x + -4x Combine like terms: 2x + -4x = -2x -3 + -2x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -2x = 18 + 0 -3 + -2x = 18 Add '3' to each side of the equation. -3 + 3 + -2x = 18 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 18 + 3 -2x = 18 + 3 Combine like terms: 18 + 3 = 21 -2x = 21 Divide each side by '-2'. x = -10.5 Simplifying x = -10.5
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