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Simplifying 3x + 59 = 9x + -5(x + 1) Reorder the terms: 59 + 3x = 9x + -5(x + 1) Reorder the terms: 59 + 3x = 9x + -5(1 + x) 59 + 3x = 9x + (1 * -5 + x * -5) 59 + 3x = 9x + (-5 + -5x) Reorder the terms: 59 + 3x = -5 + 9x + -5x Combine like terms: 9x + -5x = 4x 59 + 3x = -5 + 4x Solving 59 + 3x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 59 + 3x + -4x = -5 + 4x + -4x Combine like terms: 3x + -4x = -1x 59 + -1x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 59 + -1x = -5 + 0 59 + -1x = -5 Add '-59' to each side of the equation. 59 + -59 + -1x = -5 + -59 Combine like terms: 59 + -59 = 0 0 + -1x = -5 + -59 -1x = -5 + -59 Combine like terms: -5 + -59 = -64 -1x = -64 Divide each side by '-1'. x = 64 Simplifying x = 64
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