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Simplifying -1x + 13 = 3(2x + -5) Reorder the terms: 13 + -1x = 3(2x + -5) Reorder the terms: 13 + -1x = 3(-5 + 2x) 13 + -1x = (-5 * 3 + 2x * 3) 13 + -1x = (-15 + 6x) Solving 13 + -1x = -15 + 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. 13 + -1x + -6x = -15 + 6x + -6x Combine like terms: -1x + -6x = -7x 13 + -7x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -7x = -15 + 0 13 + -7x = -15 Add '-13' to each side of the equation. 13 + -13 + -7x = -15 + -13 Combine like terms: 13 + -13 = 0 0 + -7x = -15 + -13 -7x = -15 + -13 Combine like terms: -15 + -13 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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