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Simplifying 4(2.1x + 6) = 2(4.5x + -0.24) + 2(1.4x) Reorder the terms: 4(6 + 2.1x) = 2(4.5x + -0.24) + 2(1.4x) (6 * 4 + 2.1x * 4) = 2(4.5x + -0.24) + 2(1.4x) (24 + 8.4x) = 2(4.5x + -0.24) + 2(1.4x) Reorder the terms: 24 + 8.4x = 2(-0.24 + 4.5x) + 2(1.4x) 24 + 8.4x = (-0.24 * 2 + 4.5x * 2) + 2(1.4x) 24 + 8.4x = (-0.48 + 9x) + 2(1.4x) Remove parenthesis around (1.4x) 24 + 8.4x = -0.48 + 9x + 2 * 1.4x Multiply 2 * 1.4 24 + 8.4x = -0.48 + 9x + 2.8x Combine like terms: 9x + 2.8x = 11.8x 24 + 8.4x = -0.48 + 11.8x Solving 24 + 8.4x = -0.48 + 11.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.8x' to each side of the equation. 24 + 8.4x + -11.8x = -0.48 + 11.8x + -11.8x Combine like terms: 8.4x + -11.8x = -3.4x 24 + -3.4x = -0.48 + 11.8x + -11.8x Combine like terms: 11.8x + -11.8x = 0.0 24 + -3.4x = -0.48 + 0.0 24 + -3.4x = -0.48 Add '-24' to each side of the equation. 24 + -24 + -3.4x = -0.48 + -24 Combine like terms: 24 + -24 = 0 0 + -3.4x = -0.48 + -24 -3.4x = -0.48 + -24 Combine like terms: -0.48 + -24 = -24.48 -3.4x = -24.48 Divide each side by '-3.4'. x = 7.2 Simplifying x = 7.2
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