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Simplifying 3(4x + -5) + 62 = -8(x + -8) + 14x + -5 Reorder the terms: 3(-5 + 4x) + 62 = -8(x + -8) + 14x + -5 (-5 * 3 + 4x * 3) + 62 = -8(x + -8) + 14x + -5 (-15 + 12x) + 62 = -8(x + -8) + 14x + -5 Reorder the terms: -15 + 62 + 12x = -8(x + -8) + 14x + -5 Combine like terms: -15 + 62 = 47 47 + 12x = -8(x + -8) + 14x + -5 Reorder the terms: 47 + 12x = -8(-8 + x) + 14x + -5 47 + 12x = (-8 * -8 + x * -8) + 14x + -5 47 + 12x = (64 + -8x) + 14x + -5 Reorder the terms: 47 + 12x = 64 + -5 + -8x + 14x Combine like terms: 64 + -5 = 59 47 + 12x = 59 + -8x + 14x Combine like terms: -8x + 14x = 6x 47 + 12x = 59 + 6x Solving 47 + 12x = 59 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 47 + 12x + -6x = 59 + 6x + -6x Combine like terms: 12x + -6x = 6x 47 + 6x = 59 + 6x + -6x Combine like terms: 6x + -6x = 0 47 + 6x = 59 + 0 47 + 6x = 59 Add '-47' to each side of the equation. 47 + -47 + 6x = 59 + -47 Combine like terms: 47 + -47 = 0 0 + 6x = 59 + -47 6x = 59 + -47 Combine like terms: 59 + -47 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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