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Simplifying 0.24 + -0.02(x + 1) = 0.04(2 + -1x) Reorder the terms: 0.24 + -0.02(1 + x) = 0.04(2 + -1x) 0.24 + (1 * -0.02 + x * -0.02) = 0.04(2 + -1x) 0.24 + (-0.02 + -0.02x) = 0.04(2 + -1x) Combine like terms: 0.24 + -0.02 = 0.22 0.22 + -0.02x = 0.04(2 + -1x) 0.22 + -0.02x = (2 * 0.04 + -1x * 0.04) 0.22 + -0.02x = (0.08 + -0.04x) Solving 0.22 + -0.02x = 0.08 + -0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.04x' to each side of the equation. 0.22 + -0.02x + 0.04x = 0.08 + -0.04x + 0.04x Combine like terms: -0.02x + 0.04x = 0.02x 0.22 + 0.02x = 0.08 + -0.04x + 0.04x Combine like terms: -0.04x + 0.04x = 0.00 0.22 + 0.02x = 0.08 + 0.00 0.22 + 0.02x = 0.08 Add '-0.22' to each side of the equation. 0.22 + -0.22 + 0.02x = 0.08 + -0.22 Combine like terms: 0.22 + -0.22 = 0.00 0.00 + 0.02x = 0.08 + -0.22 0.02x = 0.08 + -0.22 Combine like terms: 0.08 + -0.22 = -0.14 0.02x = -0.14 Divide each side by '0.02'. x = -7 Simplifying x = -7
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