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Simplifying 3x + 283 = 13x + -7 Reorder the terms: 283 + 3x = 13x + -7 Reorder the terms: 283 + 3x = -7 + 13x Solving 283 + 3x = -7 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 283 + 3x + -13x = -7 + 13x + -13x Combine like terms: 3x + -13x = -10x 283 + -10x = -7 + 13x + -13x Combine like terms: 13x + -13x = 0 283 + -10x = -7 + 0 283 + -10x = -7 Add '-283' to each side of the equation. 283 + -283 + -10x = -7 + -283 Combine like terms: 283 + -283 = 0 0 + -10x = -7 + -283 -10x = -7 + -283 Combine like terms: -7 + -283 = -290 -10x = -290 Divide each side by '-10'. x = 29 Simplifying x = 29
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