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Simplifying 4x + 7 = 3(x + 2) + (x + 2) * 5 Reorder the terms: 7 + 4x = 3(x + 2) + (x + 2) * 5 Reorder the terms: 7 + 4x = 3(2 + x) + (x + 2) * 5 7 + 4x = (2 * 3 + x * 3) + (x + 2) * 5 7 + 4x = (6 + 3x) + (x + 2) * 5 Reorder the terms: 7 + 4x = 6 + 3x + (2 + x) * 5 Reorder the terms for easier multiplication: 7 + 4x = 6 + 3x + 5(2 + x) 7 + 4x = 6 + 3x + (2 * 5 + x * 5) 7 + 4x = 6 + 3x + (10 + 5x) Reorder the terms: 7 + 4x = 6 + 10 + 3x + 5x Combine like terms: 6 + 10 = 16 7 + 4x = 16 + 3x + 5x Combine like terms: 3x + 5x = 8x 7 + 4x = 16 + 8x Solving 7 + 4x = 16 + 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. 7 + 4x + -8x = 16 + 8x + -8x Combine like terms: 4x + -8x = -4x 7 + -4x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -4x = 16 + 0 7 + -4x = 16 Add '-7' to each side of the equation. 7 + -7 + -4x = 16 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 16 + -7 -4x = 16 + -7 Combine like terms: 16 + -7 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25
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