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Simplifying 2(3x + -5) = 4(x + 7) Reorder the terms: 2(-5 + 3x) = 4(x + 7) (-5 * 2 + 3x * 2) = 4(x + 7) (-10 + 6x) = 4(x + 7) Reorder the terms: -10 + 6x = 4(7 + x) -10 + 6x = (7 * 4 + x * 4) -10 + 6x = (28 + 4x) Solving -10 + 6x = 28 + 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. -10 + 6x + -4x = 28 + 4x + -4x Combine like terms: 6x + -4x = 2x -10 + 2x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 2x = 28 + 0 -10 + 2x = 28 Add '10' to each side of the equation. -10 + 10 + 2x = 28 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 28 + 10 2x = 28 + 10 Combine like terms: 28 + 10 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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