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Simplifying 2x + -3 + 2(x + -8) = 3(x + 10) Reorder the terms: 2x + -3 + 2(-8 + x) = 3(x + 10) 2x + -3 + (-8 * 2 + x * 2) = 3(x + 10) 2x + -3 + (-16 + 2x) = 3(x + 10) Reorder the terms: -3 + -16 + 2x + 2x = 3(x + 10) Combine like terms: -3 + -16 = -19 -19 + 2x + 2x = 3(x + 10) Combine like terms: 2x + 2x = 4x -19 + 4x = 3(x + 10) Reorder the terms: -19 + 4x = 3(10 + x) -19 + 4x = (10 * 3 + x * 3) -19 + 4x = (30 + 3x) Solving -19 + 4x = 30 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -19 + 4x + -3x = 30 + 3x + -3x Combine like terms: 4x + -3x = 1x -19 + 1x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 -19 + 1x = 30 + 0 -19 + 1x = 30 Add '19' to each side of the equation. -19 + 19 + 1x = 30 + 19 Combine like terms: -19 + 19 = 0 0 + 1x = 30 + 19 1x = 30 + 19 Combine like terms: 30 + 19 = 49 1x = 49 Divide each side by '1'. x = 49 Simplifying x = 49
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