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Simplifying 0.14 + -0.01(x + 2) = 0.03(a + -1x) Reorder the terms: 0.14 + -0.01(2 + x) = 0.03(a + -1x) 0.14 + (2 * -0.01 + x * -0.01) = 0.03(a + -1x) 0.14 + (-0.02 + -0.01x) = 0.03(a + -1x) Combine like terms: 0.14 + -0.02 = 0.12 0.12 + -0.01x = 0.03(a + -1x) 0.12 + -0.01x = (a * 0.03 + -1x * 0.03) 0.12 + -0.01x = (0.03a + -0.03x) Solving 0.12 + -0.01x = 0.03a + -0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.03x' to each side of the equation. 0.12 + -0.01x + 0.03x = 0.03a + -0.03x + 0.03x Combine like terms: -0.01x + 0.03x = 0.02x 0.12 + 0.02x = 0.03a + -0.03x + 0.03x Combine like terms: -0.03x + 0.03x = 0.00 0.12 + 0.02x = 0.03a + 0.00 0.12 + 0.02x = 0.03a Add '-0.12' to each side of the equation. 0.12 + -0.12 + 0.02x = -0.12 + 0.03a Combine like terms: 0.12 + -0.12 = 0.00 0.00 + 0.02x = -0.12 + 0.03a 0.02x = -0.12 + 0.03a Divide each side by '0.02'. x = -6 + 1.5a Simplifying x = -6 + 1.5a
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