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Simplifying 4(x + 7) = -3(-2 + -4x) + 3 Reorder the terms: 4(7 + x) = -3(-2 + -4x) + 3 (7 * 4 + x * 4) = -3(-2 + -4x) + 3 (28 + 4x) = -3(-2 + -4x) + 3 28 + 4x = (-2 * -3 + -4x * -3) + 3 28 + 4x = (6 + 12x) + 3 Reorder the terms: 28 + 4x = 6 + 3 + 12x Combine like terms: 6 + 3 = 9 28 + 4x = 9 + 12x Solving 28 + 4x = 9 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 28 + 4x + -12x = 9 + 12x + -12x Combine like terms: 4x + -12x = -8x 28 + -8x = 9 + 12x + -12x Combine like terms: 12x + -12x = 0 28 + -8x = 9 + 0 28 + -8x = 9 Add '-28' to each side of the equation. 28 + -28 + -8x = 9 + -28 Combine like terms: 28 + -28 = 0 0 + -8x = 9 + -28 -8x = 9 + -28 Combine like terms: 9 + -28 = -19 -8x = -19 Divide each side by '-8'. x = 2.375 Simplifying x = 2.375
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