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Simplifying 4(x + 7) + 3 = -2(x + -4) + -1 Reorder the terms: 4(7 + x) + 3 = -2(x + -4) + -1 (7 * 4 + x * 4) + 3 = -2(x + -4) + -1 (28 + 4x) + 3 = -2(x + -4) + -1 Reorder the terms: 28 + 3 + 4x = -2(x + -4) + -1 Combine like terms: 28 + 3 = 31 31 + 4x = -2(x + -4) + -1 Reorder the terms: 31 + 4x = -2(-4 + x) + -1 31 + 4x = (-4 * -2 + x * -2) + -1 31 + 4x = (8 + -2x) + -1 Reorder the terms: 31 + 4x = 8 + -1 + -2x Combine like terms: 8 + -1 = 7 31 + 4x = 7 + -2x Solving 31 + 4x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 31 + 4x + 2x = 7 + -2x + 2x Combine like terms: 4x + 2x = 6x 31 + 6x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 31 + 6x = 7 + 0 31 + 6x = 7 Add '-31' to each side of the equation. 31 + -31 + 6x = 7 + -31 Combine like terms: 31 + -31 = 0 0 + 6x = 7 + -31 6x = 7 + -31 Combine like terms: 7 + -31 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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