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Simplifying 4[3x + 5 + 7(x + 1)] = 7x + 5 Reorder the terms: 4[3x + 5 + 7(1 + x)] = 7x + 5 4[3x + 5 + (1 * 7 + x * 7)] = 7x + 5 4[3x + 5 + (7 + 7x)] = 7x + 5 Reorder the terms: 4[5 + 7 + 3x + 7x] = 7x + 5 Combine like terms: 5 + 7 = 12 4[12 + 3x + 7x] = 7x + 5 Combine like terms: 3x + 7x = 10x 4[12 + 10x] = 7x + 5 [12 * 4 + 10x * 4] = 7x + 5 [48 + 40x] = 7x + 5 Reorder the terms: 48 + 40x = 5 + 7x Solving 48 + 40x = 5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 48 + 40x + -7x = 5 + 7x + -7x Combine like terms: 40x + -7x = 33x 48 + 33x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 48 + 33x = 5 + 0 48 + 33x = 5 Add '-48' to each side of the equation. 48 + -48 + 33x = 5 + -48 Combine like terms: 48 + -48 = 0 0 + 33x = 5 + -48 33x = 5 + -48 Combine like terms: 5 + -48 = -43 33x = -43 Divide each side by '33'. x = -1.303030303 Simplifying x = -1.303030303
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