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Simplifying 4(x + 7) = 7(3 + -1x) + -4(x + 2) Reorder the terms: 4(7 + x) = 7(3 + -1x) + -4(x + 2) (7 * 4 + x * 4) = 7(3 + -1x) + -4(x + 2) (28 + 4x) = 7(3 + -1x) + -4(x + 2) 28 + 4x = (3 * 7 + -1x * 7) + -4(x + 2) 28 + 4x = (21 + -7x) + -4(x + 2) Reorder the terms: 28 + 4x = 21 + -7x + -4(2 + x) 28 + 4x = 21 + -7x + (2 * -4 + x * -4) 28 + 4x = 21 + -7x + (-8 + -4x) Reorder the terms: 28 + 4x = 21 + -8 + -7x + -4x Combine like terms: 21 + -8 = 13 28 + 4x = 13 + -7x + -4x Combine like terms: -7x + -4x = -11x 28 + 4x = 13 + -11x Solving 28 + 4x = 13 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 28 + 4x + 11x = 13 + -11x + 11x Combine like terms: 4x + 11x = 15x 28 + 15x = 13 + -11x + 11x Combine like terms: -11x + 11x = 0 28 + 15x = 13 + 0 28 + 15x = 13 Add '-28' to each side of the equation. 28 + -28 + 15x = 13 + -28 Combine like terms: 28 + -28 = 0 0 + 15x = 13 + -28 15x = 13 + -28 Combine like terms: 13 + -28 = -15 15x = -15 Divide each side by '15'. x = -1 Simplifying x = -1
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