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Simplifying 0.12x + 0.3 = 3(0.17x + 1.07) Reorder the terms: 0.3 + 0.12x = 3(0.17x + 1.07) Reorder the terms: 0.3 + 0.12x = 3(1.07 + 0.17x) 0.3 + 0.12x = (1.07 * 3 + 0.17x * 3) 0.3 + 0.12x = (3.21 + 0.51x) Solving 0.3 + 0.12x = 3.21 + 0.51x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.51x' to each side of the equation. 0.3 + 0.12x + -0.51x = 3.21 + 0.51x + -0.51x Combine like terms: 0.12x + -0.51x = -0.39x 0.3 + -0.39x = 3.21 + 0.51x + -0.51x Combine like terms: 0.51x + -0.51x = 0.00 0.3 + -0.39x = 3.21 + 0.00 0.3 + -0.39x = 3.21 Add '-0.3' to each side of the equation. 0.3 + -0.3 + -0.39x = 3.21 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -0.39x = 3.21 + -0.3 -0.39x = 3.21 + -0.3 Combine like terms: 3.21 + -0.3 = 2.91 -0.39x = 2.91 Divide each side by '-0.39'. x = -7.461538462 Simplifying x = -7.461538462
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