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Simplifying 4(x + 7) = -3(-2 + -4x) + 3x Reorder the terms: 4(7 + x) = -3(-2 + -4x) + 3x (7 * 4 + x * 4) = -3(-2 + -4x) + 3x (28 + 4x) = -3(-2 + -4x) + 3x 28 + 4x = (-2 * -3 + -4x * -3) + 3x 28 + 4x = (6 + 12x) + 3x Combine like terms: 12x + 3x = 15x 28 + 4x = 6 + 15x Solving 28 + 4x = 6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 28 + 4x + -15x = 6 + 15x + -15x Combine like terms: 4x + -15x = -11x 28 + -11x = 6 + 15x + -15x Combine like terms: 15x + -15x = 0 28 + -11x = 6 + 0 28 + -11x = 6 Add '-28' to each side of the equation. 28 + -28 + -11x = 6 + -28 Combine like terms: 28 + -28 = 0 0 + -11x = 6 + -28 -11x = 6 + -28 Combine like terms: 6 + -28 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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