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Simplifying 3x + 97 = 7(4x + -13) + -2(9x + -3) Reorder the terms: 97 + 3x = 7(4x + -13) + -2(9x + -3) Reorder the terms: 97 + 3x = 7(-13 + 4x) + -2(9x + -3) 97 + 3x = (-13 * 7 + 4x * 7) + -2(9x + -3) 97 + 3x = (-91 + 28x) + -2(9x + -3) Reorder the terms: 97 + 3x = -91 + 28x + -2(-3 + 9x) 97 + 3x = -91 + 28x + (-3 * -2 + 9x * -2) 97 + 3x = -91 + 28x + (6 + -18x) Reorder the terms: 97 + 3x = -91 + 6 + 28x + -18x Combine like terms: -91 + 6 = -85 97 + 3x = -85 + 28x + -18x Combine like terms: 28x + -18x = 10x 97 + 3x = -85 + 10x Solving 97 + 3x = -85 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 97 + 3x + -10x = -85 + 10x + -10x Combine like terms: 3x + -10x = -7x 97 + -7x = -85 + 10x + -10x Combine like terms: 10x + -10x = 0 97 + -7x = -85 + 0 97 + -7x = -85 Add '-97' to each side of the equation. 97 + -97 + -7x = -85 + -97 Combine like terms: 97 + -97 = 0 0 + -7x = -85 + -97 -7x = -85 + -97 Combine like terms: -85 + -97 = -182 -7x = -182 Divide each side by '-7'. x = 26 Simplifying x = 26
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