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Simplifying 3(2x + -5) + -4 = 4(x + 2) Reorder the terms: 3(-5 + 2x) + -4 = 4(x + 2) (-5 * 3 + 2x * 3) + -4 = 4(x + 2) (-15 + 6x) + -4 = 4(x + 2) Reorder the terms: -15 + -4 + 6x = 4(x + 2) Combine like terms: -15 + -4 = -19 -19 + 6x = 4(x + 2) Reorder the terms: -19 + 6x = 4(2 + x) -19 + 6x = (2 * 4 + x * 4) -19 + 6x = (8 + 4x) Solving -19 + 6x = 8 + 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. -19 + 6x + -4x = 8 + 4x + -4x Combine like terms: 6x + -4x = 2x -19 + 2x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -19 + 2x = 8 + 0 -19 + 2x = 8 Add '19' to each side of the equation. -19 + 19 + 2x = 8 + 19 Combine like terms: -19 + 19 = 0 0 + 2x = 8 + 19 2x = 8 + 19 Combine like terms: 8 + 19 = 27 2x = 27 Divide each side by '2'. x = 13.5 Simplifying x = 13.5
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