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Simplifying 3x + 97 = 7(4x + -13) + -1(9x + -3) Reorder the terms: 97 + 3x = 7(4x + -13) + -1(9x + -3) Reorder the terms: 97 + 3x = 7(-13 + 4x) + -1(9x + -3) 97 + 3x = (-13 * 7 + 4x * 7) + -1(9x + -3) 97 + 3x = (-91 + 28x) + -1(9x + -3) Reorder the terms: 97 + 3x = -91 + 28x + -1(-3 + 9x) 97 + 3x = -91 + 28x + (-3 * -1 + 9x * -1) 97 + 3x = -91 + 28x + (3 + -9x) Reorder the terms: 97 + 3x = -91 + 3 + 28x + -9x Combine like terms: -91 + 3 = -88 97 + 3x = -88 + 28x + -9x Combine like terms: 28x + -9x = 19x 97 + 3x = -88 + 19x Solving 97 + 3x = -88 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 97 + 3x + -19x = -88 + 19x + -19x Combine like terms: 3x + -19x = -16x 97 + -16x = -88 + 19x + -19x Combine like terms: 19x + -19x = 0 97 + -16x = -88 + 0 97 + -16x = -88 Add '-97' to each side of the equation. 97 + -97 + -16x = -88 + -97 Combine like terms: 97 + -97 = 0 0 + -16x = -88 + -97 -16x = -88 + -97 Combine like terms: -88 + -97 = -185 -16x = -185 Divide each side by '-16'. x = 11.5625 Simplifying x = 11.5625
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