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Simplifying 2(2x + -3) + 10 = 3(x + 7) + -19 Reorder the terms: 2(-3 + 2x) + 10 = 3(x + 7) + -19 (-3 * 2 + 2x * 2) + 10 = 3(x + 7) + -19 (-6 + 4x) + 10 = 3(x + 7) + -19 Reorder the terms: -6 + 10 + 4x = 3(x + 7) + -19 Combine like terms: -6 + 10 = 4 4 + 4x = 3(x + 7) + -19 Reorder the terms: 4 + 4x = 3(7 + x) + -19 4 + 4x = (7 * 3 + x * 3) + -19 4 + 4x = (21 + 3x) + -19 Reorder the terms: 4 + 4x = 21 + -19 + 3x Combine like terms: 21 + -19 = 2 4 + 4x = 2 + 3x Solving 4 + 4x = 2 + 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. 4 + 4x + -3x = 2 + 3x + -3x Combine like terms: 4x + -3x = 1x 4 + 1x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 1x = 2 + 0 4 + 1x = 2 Add '-4' to each side of the equation. 4 + -4 + 1x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 2 + -4 1x = 2 + -4 Combine like terms: 2 + -4 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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