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Simplifying 2(x + -1) + 10x = 5(2x + 3) + 4 Reorder the terms: 2(-1 + x) + 10x = 5(2x + 3) + 4 (-1 * 2 + x * 2) + 10x = 5(2x + 3) + 4 (-2 + 2x) + 10x = 5(2x + 3) + 4 Combine like terms: 2x + 10x = 12x -2 + 12x = 5(2x + 3) + 4 Reorder the terms: -2 + 12x = 5(3 + 2x) + 4 -2 + 12x = (3 * 5 + 2x * 5) + 4 -2 + 12x = (15 + 10x) + 4 Reorder the terms: -2 + 12x = 15 + 4 + 10x Combine like terms: 15 + 4 = 19 -2 + 12x = 19 + 10x Solving -2 + 12x = 19 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -2 + 12x + -10x = 19 + 10x + -10x Combine like terms: 12x + -10x = 2x -2 + 2x = 19 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + 2x = 19 + 0 -2 + 2x = 19 Add '2' to each side of the equation. -2 + 2 + 2x = 19 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 19 + 2 2x = 19 + 2 Combine like terms: 19 + 2 = 21 2x = 21 Divide each side by '2'. x = 10.5 Simplifying x = 10.5
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