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Simplifying 0.12(5 + -2x) = -0.16(x + -4) (5 * 0.12 + -2x * 0.12) = -0.16(x + -4) (0.6 + -0.24x) = -0.16(x + -4) Reorder the terms: 0.6 + -0.24x = -0.16(-4 + x) 0.6 + -0.24x = (-4 * -0.16 + x * -0.16) 0.6 + -0.24x = (0.64 + -0.16x) Solving 0.6 + -0.24x = 0.64 + -0.16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.16x' to each side of the equation. 0.6 + -0.24x + 0.16x = 0.64 + -0.16x + 0.16x Combine like terms: -0.24x + 0.16x = -0.08x 0.6 + -0.08x = 0.64 + -0.16x + 0.16x Combine like terms: -0.16x + 0.16x = 0.00 0.6 + -0.08x = 0.64 + 0.00 0.6 + -0.08x = 0.64 Add '-0.6' to each side of the equation. 0.6 + -0.6 + -0.08x = 0.64 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -0.08x = 0.64 + -0.6 -0.08x = 0.64 + -0.6 Combine like terms: 0.64 + -0.6 = 0.04 -0.08x = 0.04 Divide each side by '-0.08'. x = -0.5 Simplifying x = -0.5
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