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Simplifying 5[-7x + -6 + 5(x + 1)] = 7x + -3 Reorder the terms: 5[-7x + -6 + 5(1 + x)] = 7x + -3 5[-7x + -6 + (1 * 5 + x * 5)] = 7x + -3 5[-7x + -6 + (5 + 5x)] = 7x + -3 Reorder the terms: 5[-6 + 5 + -7x + 5x] = 7x + -3 Combine like terms: -6 + 5 = -1 5[-1 + -7x + 5x] = 7x + -3 Combine like terms: -7x + 5x = -2x 5[-1 + -2x] = 7x + -3 [-1 * 5 + -2x * 5] = 7x + -3 [-5 + -10x] = 7x + -3 Reorder the terms: -5 + -10x = -3 + 7x Solving -5 + -10x = -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. -5 + -10x + -7x = -3 + 7x + -7x Combine like terms: -10x + -7x = -17x -5 + -17x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -17x = -3 + 0 -5 + -17x = -3 Add '5' to each side of the equation. -5 + 5 + -17x = -3 + 5 Combine like terms: -5 + 5 = 0 0 + -17x = -3 + 5 -17x = -3 + 5 Combine like terms: -3 + 5 = 2 -17x = 2 Divide each side by '-17'. x = -0.1176470588 Simplifying x = -0.1176470588
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