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Simplifying 17 + -3(x + 4) = 13(x + 3) + -16 Reorder the terms: 17 + -3(4 + x) = 13(x + 3) + -16 17 + (4 * -3 + x * -3) = 13(x + 3) + -16 17 + (-12 + -3x) = 13(x + 3) + -16 Combine like terms: 17 + -12 = 5 5 + -3x = 13(x + 3) + -16 Reorder the terms: 5 + -3x = 13(3 + x) + -16 5 + -3x = (3 * 13 + x * 13) + -16 5 + -3x = (39 + 13x) + -16 Reorder the terms: 5 + -3x = 39 + -16 + 13x Combine like terms: 39 + -16 = 23 5 + -3x = 23 + 13x Solving 5 + -3x = 23 + 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. 5 + -3x + -13x = 23 + 13x + -13x Combine like terms: -3x + -13x = -16x 5 + -16x = 23 + 13x + -13x Combine like terms: 13x + -13x = 0 5 + -16x = 23 + 0 5 + -16x = 23 Add '-5' to each side of the equation. 5 + -5 + -16x = 23 + -5 Combine like terms: 5 + -5 = 0 0 + -16x = 23 + -5 -16x = 23 + -5 Combine like terms: 23 + -5 = 18 -16x = 18 Divide each side by '-16'. x = -1.125 Simplifying x = -1.125
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