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Simplifying 52 = -3x + -7(-4x + 14) Reorder the terms: 52 = -3x + -7(14 + -4x) 52 = -3x + (14 * -7 + -4x * -7) 52 = -3x + (-98 + 28x) Reorder the terms: 52 = -98 + -3x + 28x Combine like terms: -3x + 28x = 25x 52 = -98 + 25x Solving 52 = -98 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 52 + -25x = -98 + 25x + -25x Combine like terms: 25x + -25x = 0 52 + -25x = -98 + 0 52 + -25x = -98 Add '-52' to each side of the equation. 52 + -52 + -25x = -98 + -52 Combine like terms: 52 + -52 = 0 0 + -25x = -98 + -52 -25x = -98 + -52 Combine like terms: -98 + -52 = -150 -25x = -150 Divide each side by '-25'. x = 6 Simplifying x = 6
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