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Simplifying 2(5x + 3) + -10 = 2(3x + 12) Reorder the terms: 2(3 + 5x) + -10 = 2(3x + 12) (3 * 2 + 5x * 2) + -10 = 2(3x + 12) (6 + 10x) + -10 = 2(3x + 12) Reorder the terms: 6 + -10 + 10x = 2(3x + 12) Combine like terms: 6 + -10 = -4 -4 + 10x = 2(3x + 12) Reorder the terms: -4 + 10x = 2(12 + 3x) -4 + 10x = (12 * 2 + 3x * 2) -4 + 10x = (24 + 6x) Solving -4 + 10x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 10x + -6x = 24 + 6x + -6x Combine like terms: 10x + -6x = 4x -4 + 4x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 4x = 24 + 0 -4 + 4x = 24 Add '4' to each side of the equation. -4 + 4 + 4x = 24 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 24 + 4 4x = 24 + 4 Combine like terms: 24 + 4 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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