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Simplifying 14x + 57 + -4x = 7(x + 1) + -140 Reorder the terms: 57 + 14x + -4x = 7(x + 1) + -140 Combine like terms: 14x + -4x = 10x 57 + 10x = 7(x + 1) + -140 Reorder the terms: 57 + 10x = 7(1 + x) + -140 57 + 10x = (1 * 7 + x * 7) + -140 57 + 10x = (7 + 7x) + -140 Reorder the terms: 57 + 10x = 7 + -140 + 7x Combine like terms: 7 + -140 = -133 57 + 10x = -133 + 7x Solving 57 + 10x = -133 + 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. 57 + 10x + -7x = -133 + 7x + -7x Combine like terms: 10x + -7x = 3x 57 + 3x = -133 + 7x + -7x Combine like terms: 7x + -7x = 0 57 + 3x = -133 + 0 57 + 3x = -133 Add '-57' to each side of the equation. 57 + -57 + 3x = -133 + -57 Combine like terms: 57 + -57 = 0 0 + 3x = -133 + -57 3x = -133 + -57 Combine like terms: -133 + -57 = -190 3x = -190 Divide each side by '3'. x = -63.33333333 Simplifying x = -63.33333333
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