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Simplifying 0.4(1.6x + -1.2) = 3.04x + -19.68 Reorder the terms: 0.4(-1.2 + 1.6x) = 3.04x + -19.68 (-1.2 * 0.4 + 1.6x * 0.4) = 3.04x + -19.68 (-0.48 + 0.64x) = 3.04x + -19.68 Reorder the terms: -0.48 + 0.64x = -19.68 + 3.04x Solving -0.48 + 0.64x = -19.68 + 3.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.04x' to each side of the equation. -0.48 + 0.64x + -3.04x = -19.68 + 3.04x + -3.04x Combine like terms: 0.64x + -3.04x = -2.4x -0.48 + -2.4x = -19.68 + 3.04x + -3.04x Combine like terms: 3.04x + -3.04x = 0.00 -0.48 + -2.4x = -19.68 + 0.00 -0.48 + -2.4x = -19.68 Add '0.48' to each side of the equation. -0.48 + 0.48 + -2.4x = -19.68 + 0.48 Combine like terms: -0.48 + 0.48 = 0.00 0.00 + -2.4x = -19.68 + 0.48 -2.4x = -19.68 + 0.48 Combine like terms: -19.68 + 0.48 = -19.2 -2.4x = -19.2 Divide each side by '-2.4'. x = 8 Simplifying x = 8
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