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Simplifying 0.16(x + -5) + 0.02x = 0.1x + -0.03(10) Reorder the terms: 0.16(-5 + x) + 0.02x = 0.1x + -0.03(10) (-5 * 0.16 + x * 0.16) + 0.02x = 0.1x + -0.03(10) (-0.8 + 0.16x) + 0.02x = 0.1x + -0.03(10) Combine like terms: 0.16x + 0.02x = 0.18x -0.8 + 0.18x = 0.1x + -0.03(10) Multiply -0.03 * 10 -0.8 + 0.18x = 0.1x + -0.3 Reorder the terms: -0.8 + 0.18x = -0.3 + 0.1x Solving -0.8 + 0.18x = -0.3 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. -0.8 + 0.18x + -0.1x = -0.3 + 0.1x + -0.1x Combine like terms: 0.18x + -0.1x = 0.08x -0.8 + 0.08x = -0.3 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -0.8 + 0.08x = -0.3 + 0.0 -0.8 + 0.08x = -0.3 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.08x = -0.3 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.08x = -0.3 + 0.8 0.08x = -0.3 + 0.8 Combine like terms: -0.3 + 0.8 = 0.5 0.08x = 0.5 Divide each side by '0.08'. x = 6.25 Simplifying x = 6.25
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