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Simplifying 21x + -63 = 2(14x + -31) + 6 Reorder the terms: -63 + 21x = 2(14x + -31) + 6 Reorder the terms: -63 + 21x = 2(-31 + 14x) + 6 -63 + 21x = (-31 * 2 + 14x * 2) + 6 -63 + 21x = (-62 + 28x) + 6 Reorder the terms: -63 + 21x = -62 + 6 + 28x Combine like terms: -62 + 6 = -56 -63 + 21x = -56 + 28x Solving -63 + 21x = -56 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -63 + 21x + -28x = -56 + 28x + -28x Combine like terms: 21x + -28x = -7x -63 + -7x = -56 + 28x + -28x Combine like terms: 28x + -28x = 0 -63 + -7x = -56 + 0 -63 + -7x = -56 Add '63' to each side of the equation. -63 + 63 + -7x = -56 + 63 Combine like terms: -63 + 63 = 0 0 + -7x = -56 + 63 -7x = -56 + 63 Combine like terms: -56 + 63 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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