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Simplifying 5x + 13 = 4x + -1(3x + -17) Reorder the terms: 13 + 5x = 4x + -1(3x + -17) Reorder the terms: 13 + 5x = 4x + -1(-17 + 3x) 13 + 5x = 4x + (-17 * -1 + 3x * -1) 13 + 5x = 4x + (17 + -3x) Reorder the terms: 13 + 5x = 17 + 4x + -3x Combine like terms: 4x + -3x = 1x 13 + 5x = 17 + 1x Solving 13 + 5x = 17 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 13 + 5x + -1x = 17 + 1x + -1x Combine like terms: 5x + -1x = 4x 13 + 4x = 17 + 1x + -1x Combine like terms: 1x + -1x = 0 13 + 4x = 17 + 0 13 + 4x = 17 Add '-13' to each side of the equation. 13 + -13 + 4x = 17 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 17 + -13 4x = 17 + -13 Combine like terms: 17 + -13 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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