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Simplifying 3x + 3(0.5 + -7x) = 12 + -1x 3x + (0.5 * 3 + -7x * 3) = 12 + -1x 3x + (1.5 + -21x) = 12 + -1x Reorder the terms: 1.5 + 3x + -21x = 12 + -1x Combine like terms: 3x + -21x = -18x 1.5 + -18x = 12 + -1x Solving 1.5 + -18x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 1.5 + -18x + x = 12 + -1x + x Combine like terms: -18x + x = -17x 1.5 + -17x = 12 + -1x + x Combine like terms: -1x + x = 0 1.5 + -17x = 12 + 0 1.5 + -17x = 12 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -17x = 12 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -17x = 12 + -1.5 -17x = 12 + -1.5 Combine like terms: 12 + -1.5 = 10.5 -17x = 10.5 Divide each side by '-17'. x = -0.6176470588 Simplifying x = -0.6176470588
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