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Simplifying 4(2x + 5) + -3(x + -1) = x + 28 Reorder the terms: 4(5 + 2x) + -3(x + -1) = x + 28 (5 * 4 + 2x * 4) + -3(x + -1) = x + 28 (20 + 8x) + -3(x + -1) = x + 28 Reorder the terms: 20 + 8x + -3(-1 + x) = x + 28 20 + 8x + (-1 * -3 + x * -3) = x + 28 20 + 8x + (3 + -3x) = x + 28 Reorder the terms: 20 + 3 + 8x + -3x = x + 28 Combine like terms: 20 + 3 = 23 23 + 8x + -3x = x + 28 Combine like terms: 8x + -3x = 5x 23 + 5x = x + 28 Reorder the terms: 23 + 5x = 28 + x Solving 23 + 5x = 28 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 23 + 5x + -1x = 28 + x + -1x Combine like terms: 5x + -1x = 4x 23 + 4x = 28 + x + -1x Combine like terms: x + -1x = 0 23 + 4x = 28 + 0 23 + 4x = 28 Add '-23' to each side of the equation. 23 + -23 + 4x = 28 + -23 Combine like terms: 23 + -23 = 0 0 + 4x = 28 + -23 4x = 28 + -23 Combine like terms: 28 + -23 = 5 4x = 5 Divide each side by '4'. x = 1.25 Simplifying x = 1.25
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