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Simplifying 5 + -4(2x + -7) = 2(7 + -3x) Reorder the terms: 5 + -4(-7 + 2x) = 2(7 + -3x) 5 + (-7 * -4 + 2x * -4) = 2(7 + -3x) 5 + (28 + -8x) = 2(7 + -3x) Combine like terms: 5 + 28 = 33 33 + -8x = 2(7 + -3x) 33 + -8x = (7 * 2 + -3x * 2) 33 + -8x = (14 + -6x) Solving 33 + -8x = 14 + -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. 33 + -8x + 6x = 14 + -6x + 6x Combine like terms: -8x + 6x = -2x 33 + -2x = 14 + -6x + 6x Combine like terms: -6x + 6x = 0 33 + -2x = 14 + 0 33 + -2x = 14 Add '-33' to each side of the equation. 33 + -33 + -2x = 14 + -33 Combine like terms: 33 + -33 = 0 0 + -2x = 14 + -33 -2x = 14 + -33 Combine like terms: 14 + -33 = -19 -2x = -19 Divide each side by '-2'. x = 9.5 Simplifying x = 9.5
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