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Simplifying 62 = 5(-3 + -1x) + -2(2x + -7) 62 = (-3 * 5 + -1x * 5) + -2(2x + -7) 62 = (-15 + -5x) + -2(2x + -7) Reorder the terms: 62 = -15 + -5x + -2(-7 + 2x) 62 = -15 + -5x + (-7 * -2 + 2x * -2) 62 = -15 + -5x + (14 + -4x) Reorder the terms: 62 = -15 + 14 + -5x + -4x Combine like terms: -15 + 14 = -1 62 = -1 + -5x + -4x Combine like terms: -5x + -4x = -9x 62 = -1 + -9x Solving 62 = -1 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 62 + 9x = -1 + -9x + 9x Combine like terms: -9x + 9x = 0 62 + 9x = -1 + 0 62 + 9x = -1 Add '-62' to each side of the equation. 62 + -62 + 9x = -1 + -62 Combine like terms: 62 + -62 = 0 0 + 9x = -1 + -62 9x = -1 + -62 Combine like terms: -1 + -62 = -63 9x = -63 Divide each side by '9'. x = -7 Simplifying x = -7
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