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Simplifying 1.2(x + -1) + 0.06(x + 3) = 0.18(x + -2) Reorder the terms: 1.2(-1 + x) + 0.06(x + 3) = 0.18(x + -2) (-1 * 1.2 + x * 1.2) + 0.06(x + 3) = 0.18(x + -2) (-1.2 + 1.2x) + 0.06(x + 3) = 0.18(x + -2) Reorder the terms: -1.2 + 1.2x + 0.06(3 + x) = 0.18(x + -2) -1.2 + 1.2x + (3 * 0.06 + x * 0.06) = 0.18(x + -2) -1.2 + 1.2x + (0.18 + 0.06x) = 0.18(x + -2) Reorder the terms: -1.2 + 0.18 + 1.2x + 0.06x = 0.18(x + -2) Combine like terms: -1.2 + 0.18 = -1.02 -1.02 + 1.2x + 0.06x = 0.18(x + -2) Combine like terms: 1.2x + 0.06x = 1.26x -1.02 + 1.26x = 0.18(x + -2) Reorder the terms: -1.02 + 1.26x = 0.18(-2 + x) -1.02 + 1.26x = (-2 * 0.18 + x * 0.18) -1.02 + 1.26x = (-0.36 + 0.18x) Solving -1.02 + 1.26x = -0.36 + 0.18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.18x' to each side of the equation. -1.02 + 1.26x + -0.18x = -0.36 + 0.18x + -0.18x Combine like terms: 1.26x + -0.18x = 1.08x -1.02 + 1.08x = -0.36 + 0.18x + -0.18x Combine like terms: 0.18x + -0.18x = 0.00 -1.02 + 1.08x = -0.36 + 0.00 -1.02 + 1.08x = -0.36 Add '1.02' to each side of the equation. -1.02 + 1.02 + 1.08x = -0.36 + 1.02 Combine like terms: -1.02 + 1.02 = 0.00 0.00 + 1.08x = -0.36 + 1.02 1.08x = -0.36 + 1.02 Combine like terms: -0.36 + 1.02 = 0.66 1.08x = 0.66 Divide each side by '1.08'. x = 0.6111111111 Simplifying x = 0.6111111111
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