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Simplifying 0.24(6) + 0.04x = 0.12(24 + x) Multiply 0.24 * 6 1.44 + 0.04x = 0.12(24 + x) 1.44 + 0.04x = (24 * 0.12 + x * 0.12) 1.44 + 0.04x = (2.88 + 0.12x) Solving 1.44 + 0.04x = 2.88 + 0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.12x' to each side of the equation. 1.44 + 0.04x + -0.12x = 2.88 + 0.12x + -0.12x Combine like terms: 0.04x + -0.12x = -0.08x 1.44 + -0.08x = 2.88 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 1.44 + -0.08x = 2.88 + 0.00 1.44 + -0.08x = 2.88 Add '-1.44' to each side of the equation. 1.44 + -1.44 + -0.08x = 2.88 + -1.44 Combine like terms: 1.44 + -1.44 = 0.00 0.00 + -0.08x = 2.88 + -1.44 -0.08x = 2.88 + -1.44 Combine like terms: 2.88 + -1.44 = 1.44 -0.08x = 1.44 Divide each side by '-0.08'. x = -18 Simplifying x = -18
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