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Simplifying 16 + -47 = 7(x + -1) + -3 Combine like terms: 16 + -47 = -31 -31 = 7(x + -1) + -3 Reorder the terms: -31 = 7(-1 + x) + -3 -31 = (-1 * 7 + x * 7) + -3 -31 = (-7 + 7x) + -3 Reorder the terms: -31 = -7 + -3 + 7x Combine like terms: -7 + -3 = -10 -31 = -10 + 7x Solving -31 = -10 + 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. -31 + -7x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 -31 + -7x = -10 + 0 -31 + -7x = -10 Add '31' to each side of the equation. -31 + 31 + -7x = -10 + 31 Combine like terms: -31 + 31 = 0 0 + -7x = -10 + 31 -7x = -10 + 31 Combine like terms: -10 + 31 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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