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Simplifying -3(5x + -3) + 4x = 7(x + 1) Reorder the terms: -3(-3 + 5x) + 4x = 7(x + 1) (-3 * -3 + 5x * -3) + 4x = 7(x + 1) (9 + -15x) + 4x = 7(x + 1) Combine like terms: -15x + 4x = -11x 9 + -11x = 7(x + 1) Reorder the terms: 9 + -11x = 7(1 + x) 9 + -11x = (1 * 7 + x * 7) 9 + -11x = (7 + 7x) Solving 9 + -11x = 7 + 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. 9 + -11x + -7x = 7 + 7x + -7x Combine like terms: -11x + -7x = -18x 9 + -18x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + -18x = 7 + 0 9 + -18x = 7 Add '-9' to each side of the equation. 9 + -9 + -18x = 7 + -9 Combine like terms: 9 + -9 = 0 0 + -18x = 7 + -9 -18x = 7 + -9 Combine like terms: 7 + -9 = -2 -18x = -2 Divide each side by '-18'. x = 0.1111111111 Simplifying x = 0.1111111111
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