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Simplifying 7 + 5(3x + -4) = 7(x + 1) Reorder the terms: 7 + 5(-4 + 3x) = 7(x + 1) 7 + (-4 * 5 + 3x * 5) = 7(x + 1) 7 + (-20 + 15x) = 7(x + 1) Combine like terms: 7 + -20 = -13 -13 + 15x = 7(x + 1) Reorder the terms: -13 + 15x = 7(1 + x) -13 + 15x = (1 * 7 + x * 7) -13 + 15x = (7 + 7x) Solving -13 + 15x = 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. -13 + 15x + -7x = 7 + 7x + -7x Combine like terms: 15x + -7x = 8x -13 + 8x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 + 8x = 7 + 0 -13 + 8x = 7 Add '13' to each side of the equation. -13 + 13 + 8x = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 8x = 7 + 13 8x = 7 + 13 Combine like terms: 7 + 13 = 20 8x = 20 Divide each side by '8'. x = 2.5 Simplifying x = 2.5
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