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Simplifying 0.06(8x + 16) = 1.4 + -1(x + 2) Reorder the terms: 0.06(16 + 8x) = 1.4 + -1(x + 2) (16 * 0.06 + 8x * 0.06) = 1.4 + -1(x + 2) (0.96 + 0.48x) = 1.4 + -1(x + 2) Reorder the terms: 0.96 + 0.48x = 1.4 + -1(2 + x) 0.96 + 0.48x = 1.4 + (2 * -1 + x * -1) 0.96 + 0.48x = 1.4 + (-2 + -1x) Combine like terms: 1.4 + -2 = -0.6 0.96 + 0.48x = -0.6 + -1x Solving 0.96 + 0.48x = -0.6 + -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. 0.96 + 0.48x + x = -0.6 + -1x + x Combine like terms: 0.48x + x = 1.48x 0.96 + 1.48x = -0.6 + -1x + x Combine like terms: -1x + x = 0 0.96 + 1.48x = -0.6 + 0 0.96 + 1.48x = -0.6 Add '-0.96' to each side of the equation. 0.96 + -0.96 + 1.48x = -0.6 + -0.96 Combine like terms: 0.96 + -0.96 = 0.00 0.00 + 1.48x = -0.6 + -0.96 1.48x = -0.6 + -0.96 Combine like terms: -0.6 + -0.96 = -1.56 1.48x = -1.56 Divide each side by '1.48'. x = -1.054054054 Simplifying x = -1.054054054
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