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Simplifying 2(2x + 1) + 5(x + -7) = 4(2x + 1) + -23 Reorder the terms: 2(1 + 2x) + 5(x + -7) = 4(2x + 1) + -23 (1 * 2 + 2x * 2) + 5(x + -7) = 4(2x + 1) + -23 (2 + 4x) + 5(x + -7) = 4(2x + 1) + -23 Reorder the terms: 2 + 4x + 5(-7 + x) = 4(2x + 1) + -23 2 + 4x + (-7 * 5 + x * 5) = 4(2x + 1) + -23 2 + 4x + (-35 + 5x) = 4(2x + 1) + -23 Reorder the terms: 2 + -35 + 4x + 5x = 4(2x + 1) + -23 Combine like terms: 2 + -35 = -33 -33 + 4x + 5x = 4(2x + 1) + -23 Combine like terms: 4x + 5x = 9x -33 + 9x = 4(2x + 1) + -23 Reorder the terms: -33 + 9x = 4(1 + 2x) + -23 -33 + 9x = (1 * 4 + 2x * 4) + -23 -33 + 9x = (4 + 8x) + -23 Reorder the terms: -33 + 9x = 4 + -23 + 8x Combine like terms: 4 + -23 = -19 -33 + 9x = -19 + 8x Solving -33 + 9x = -19 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -33 + 9x + -8x = -19 + 8x + -8x Combine like terms: 9x + -8x = 1x -33 + 1x = -19 + 8x + -8x Combine like terms: 8x + -8x = 0 -33 + 1x = -19 + 0 -33 + 1x = -19 Add '33' to each side of the equation. -33 + 33 + 1x = -19 + 33 Combine like terms: -33 + 33 = 0 0 + 1x = -19 + 33 1x = -19 + 33 Combine like terms: -19 + 33 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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