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Simplifying 17(x + 3) = 4(x + -10) + 13 Reorder the terms: 17(3 + x) = 4(x + -10) + 13 (3 * 17 + x * 17) = 4(x + -10) + 13 (51 + 17x) = 4(x + -10) + 13 Reorder the terms: 51 + 17x = 4(-10 + x) + 13 51 + 17x = (-10 * 4 + x * 4) + 13 51 + 17x = (-40 + 4x) + 13 Reorder the terms: 51 + 17x = -40 + 13 + 4x Combine like terms: -40 + 13 = -27 51 + 17x = -27 + 4x Solving 51 + 17x = -27 + 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. 51 + 17x + -4x = -27 + 4x + -4x Combine like terms: 17x + -4x = 13x 51 + 13x = -27 + 4x + -4x Combine like terms: 4x + -4x = 0 51 + 13x = -27 + 0 51 + 13x = -27 Add '-51' to each side of the equation. 51 + -51 + 13x = -27 + -51 Combine like terms: 51 + -51 = 0 0 + 13x = -27 + -51 13x = -27 + -51 Combine like terms: -27 + -51 = -78 13x = -78 Divide each side by '13'. x = -6 Simplifying x = -6
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