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Simplifying 97 + 12x + -1(27 + -2x) = 4(8x + -3) + 12 97 + 12x + (27 * -1 + -2x * -1) = 4(8x + -3) + 12 97 + 12x + (-27 + 2x) = 4(8x + -3) + 12 Reorder the terms: 97 + -27 + 12x + 2x = 4(8x + -3) + 12 Combine like terms: 97 + -27 = 70 70 + 12x + 2x = 4(8x + -3) + 12 Combine like terms: 12x + 2x = 14x 70 + 14x = 4(8x + -3) + 12 Reorder the terms: 70 + 14x = 4(-3 + 8x) + 12 70 + 14x = (-3 * 4 + 8x * 4) + 12 70 + 14x = (-12 + 32x) + 12 Reorder the terms: 70 + 14x = -12 + 12 + 32x Combine like terms: -12 + 12 = 0 70 + 14x = 0 + 32x 70 + 14x = 32x Solving 70 + 14x = 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 70 + 14x + -32x = 32x + -32x Combine like terms: 14x + -32x = -18x 70 + -18x = 32x + -32x Combine like terms: 32x + -32x = 0 70 + -18x = 0 Add '-70' to each side of the equation. 70 + -70 + -18x = 0 + -70 Combine like terms: 70 + -70 = 0 0 + -18x = 0 + -70 -18x = 0 + -70 Combine like terms: 0 + -70 = -70 -18x = -70 Divide each side by '-18'. x = 3.888888889 Simplifying x = 3.888888889
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