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Simplifying 2(2x + 1) + 3(2x + -3) = 2x + 59 Reorder the terms: 2(1 + 2x) + 3(2x + -3) = 2x + 59 (1 * 2 + 2x * 2) + 3(2x + -3) = 2x + 59 (2 + 4x) + 3(2x + -3) = 2x + 59 Reorder the terms: 2 + 4x + 3(-3 + 2x) = 2x + 59 2 + 4x + (-3 * 3 + 2x * 3) = 2x + 59 2 + 4x + (-9 + 6x) = 2x + 59 Reorder the terms: 2 + -9 + 4x + 6x = 2x + 59 Combine like terms: 2 + -9 = -7 -7 + 4x + 6x = 2x + 59 Combine like terms: 4x + 6x = 10x -7 + 10x = 2x + 59 Reorder the terms: -7 + 10x = 59 + 2x Solving -7 + 10x = 59 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 10x + -2x = 59 + 2x + -2x Combine like terms: 10x + -2x = 8x -7 + 8x = 59 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 8x = 59 + 0 -7 + 8x = 59 Add '7' to each side of the equation. -7 + 7 + 8x = 59 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 59 + 7 8x = 59 + 7 Combine like terms: 59 + 7 = 66 8x = 66 Divide each side by '8'. x = 8.25 Simplifying x = 8.25
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