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Simplifying 7(x + 4) + -8x = 4(2x + 1) + -5x Reorder the terms: 7(4 + x) + -8x = 4(2x + 1) + -5x (4 * 7 + x * 7) + -8x = 4(2x + 1) + -5x (28 + 7x) + -8x = 4(2x + 1) + -5x Combine like terms: 7x + -8x = -1x 28 + -1x = 4(2x + 1) + -5x Reorder the terms: 28 + -1x = 4(1 + 2x) + -5x 28 + -1x = (1 * 4 + 2x * 4) + -5x 28 + -1x = (4 + 8x) + -5x Combine like terms: 8x + -5x = 3x 28 + -1x = 4 + 3x Solving 28 + -1x = 4 + 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. 28 + -1x + -3x = 4 + 3x + -3x Combine like terms: -1x + -3x = -4x 28 + -4x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 28 + -4x = 4 + 0 28 + -4x = 4 Add '-28' to each side of the equation. 28 + -28 + -4x = 4 + -28 Combine like terms: 28 + -28 = 0 0 + -4x = 4 + -28 -4x = 4 + -28 Combine like terms: 4 + -28 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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