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Simplifying 7(x + -1) = 8(3x + 1) Reorder the terms: 7(-1 + x) = 8(3x + 1) (-1 * 7 + x * 7) = 8(3x + 1) (-7 + 7x) = 8(3x + 1) Reorder the terms: -7 + 7x = 8(1 + 3x) -7 + 7x = (1 * 8 + 3x * 8) -7 + 7x = (8 + 24x) Solving -7 + 7x = 8 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -7 + 7x + -24x = 8 + 24x + -24x Combine like terms: 7x + -24x = -17x -7 + -17x = 8 + 24x + -24x Combine like terms: 24x + -24x = 0 -7 + -17x = 8 + 0 -7 + -17x = 8 Add '7' to each side of the equation. -7 + 7 + -17x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -17x = 8 + 7 -17x = 8 + 7 Combine like terms: 8 + 7 = 15 -17x = 15 Divide each side by '-17'. x = -0.8823529412 Simplifying x = -0.8823529412
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