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Simplifying 2 + -0.06(x + 3) = 1.4 + -0.9x Reorder the terms: 2 + -0.06(3 + x) = 1.4 + -0.9x 2 + (3 * -0.06 + x * -0.06) = 1.4 + -0.9x 2 + (-0.18 + -0.06x) = 1.4 + -0.9x Combine like terms: 2 + -0.18 = 1.82 1.82 + -0.06x = 1.4 + -0.9x Solving 1.82 + -0.06x = 1.4 + -0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9x' to each side of the equation. 1.82 + -0.06x + 0.9x = 1.4 + -0.9x + 0.9x Combine like terms: -0.06x + 0.9x = 0.84x 1.82 + 0.84x = 1.4 + -0.9x + 0.9x Combine like terms: -0.9x + 0.9x = 0.0 1.82 + 0.84x = 1.4 + 0.0 1.82 + 0.84x = 1.4 Add '-1.82' to each side of the equation. 1.82 + -1.82 + 0.84x = 1.4 + -1.82 Combine like terms: 1.82 + -1.82 = 0.00 0.00 + 0.84x = 1.4 + -1.82 0.84x = 1.4 + -1.82 Combine like terms: 1.4 + -1.82 = -0.42 0.84x = -0.42 Divide each side by '0.84'. x = -0.5 Simplifying x = -0.5
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