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Simplifying 7 + -6(x + 1) + 3(3 + -4x) = 7 + (7x + -4) Reorder the terms: 7 + -6(1 + x) + 3(3 + -4x) = 7 + (7x + -4) 7 + (1 * -6 + x * -6) + 3(3 + -4x) = 7 + (7x + -4) 7 + (-6 + -6x) + 3(3 + -4x) = 7 + (7x + -4) 7 + -6 + -6x + (3 * 3 + -4x * 3) = 7 + (7x + -4) 7 + -6 + -6x + (9 + -12x) = 7 + (7x + -4) Reorder the terms: 7 + -6 + 9 + -6x + -12x = 7 + (7x + -4) Combine like terms: 7 + -6 = 1 1 + 9 + -6x + -12x = 7 + (7x + -4) Combine like terms: 1 + 9 = 10 10 + -6x + -12x = 7 + (7x + -4) Combine like terms: -6x + -12x = -18x 10 + -18x = 7 + (7x + -4) Reorder the terms: 10 + -18x = 7 + (-4 + 7x) Remove parenthesis around (-4 + 7x) 10 + -18x = 7 + -4 + 7x Combine like terms: 7 + -4 = 3 10 + -18x = 3 + 7x Solving 10 + -18x = 3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + -18x + -7x = 3 + 7x + -7x Combine like terms: -18x + -7x = -25x 10 + -25x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -25x = 3 + 0 10 + -25x = 3 Add '-10' to each side of the equation. 10 + -10 + -25x = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -25x = 3 + -10 -25x = 3 + -10 Combine like terms: 3 + -10 = -7 -25x = -7 Divide each side by '-25'. x = 0.28 Simplifying x = 0.28
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