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Simplifying 5 + -7(x + 1) = 10x + 3 Reorder the terms: 5 + -7(1 + x) = 10x + 3 5 + (1 * -7 + x * -7) = 10x + 3 5 + (-7 + -7x) = 10x + 3 Combine like terms: 5 + -7 = -2 -2 + -7x = 10x + 3 Reorder the terms: -2 + -7x = 3 + 10x Solving -2 + -7x = 3 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -2 + -7x + -10x = 3 + 10x + -10x Combine like terms: -7x + -10x = -17x -2 + -17x = 3 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + -17x = 3 + 0 -2 + -17x = 3 Add '2' to each side of the equation. -2 + 2 + -17x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -17x = 3 + 2 -17x = 3 + 2 Combine like terms: 3 + 2 = 5 -17x = 5 Divide each side by '-17'. x = -0.2941176471 Simplifying x = -0.2941176471
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