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Simplifying 7 + -3(x + -4) = 2(4x + 1) Reorder the terms: 7 + -3(-4 + x) = 2(4x + 1) 7 + (-4 * -3 + x * -3) = 2(4x + 1) 7 + (12 + -3x) = 2(4x + 1) Combine like terms: 7 + 12 = 19 19 + -3x = 2(4x + 1) Reorder the terms: 19 + -3x = 2(1 + 4x) 19 + -3x = (1 * 2 + 4x * 2) 19 + -3x = (2 + 8x) Solving 19 + -3x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 19 + -3x + -8x = 2 + 8x + -8x Combine like terms: -3x + -8x = -11x 19 + -11x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 19 + -11x = 2 + 0 19 + -11x = 2 Add '-19' to each side of the equation. 19 + -19 + -11x = 2 + -19 Combine like terms: 19 + -19 = 0 0 + -11x = 2 + -19 -11x = 2 + -19 Combine like terms: 2 + -19 = -17 -11x = -17 Divide each side by '-11'. x = 1.545454545 Simplifying x = 1.545454545
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