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Simplifying 4(x + 7) = -2(3x + 1) Reorder the terms: 4(7 + x) = -2(3x + 1) (7 * 4 + x * 4) = -2(3x + 1) (28 + 4x) = -2(3x + 1) Reorder the terms: 28 + 4x = -2(1 + 3x) 28 + 4x = (1 * -2 + 3x * -2) 28 + 4x = (-2 + -6x) Solving 28 + 4x = -2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 28 + 4x + 6x = -2 + -6x + 6x Combine like terms: 4x + 6x = 10x 28 + 10x = -2 + -6x + 6x Combine like terms: -6x + 6x = 0 28 + 10x = -2 + 0 28 + 10x = -2 Add '-28' to each side of the equation. 28 + -28 + 10x = -2 + -28 Combine like terms: 28 + -28 = 0 0 + 10x = -2 + -28 10x = -2 + -28 Combine like terms: -2 + -28 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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