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Simplifying 14 + -47 = 7(x + -1) + -5 Combine like terms: 14 + -47 = -33 -33 = 7(x + -1) + -5 Reorder the terms: -33 = 7(-1 + x) + -5 -33 = (-1 * 7 + x * 7) + -5 -33 = (-7 + 7x) + -5 Reorder the terms: -33 = -7 + -5 + 7x Combine like terms: -7 + -5 = -12 -33 = -12 + 7x Solving -33 = -12 + 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. -33 + -7x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 -33 + -7x = -12 + 0 -33 + -7x = -12 Add '33' to each side of the equation. -33 + 33 + -7x = -12 + 33 Combine like terms: -33 + 33 = 0 0 + -7x = -12 + 33 -7x = -12 + 33 Combine like terms: -12 + 33 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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