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Simplifying 0.4x(5x + -6) + 7.2 = 2x(x + 0.6) Reorder the terms: 0.4x(-6 + 5x) + 7.2 = 2x(x + 0.6) (-6 * 0.4x + 5x * 0.4x) + 7.2 = 2x(x + 0.6) (-2.4x + 2x2) + 7.2 = 2x(x + 0.6) Reorder the terms: 7.2 + -2.4x + 2x2 = 2x(x + 0.6) Reorder the terms: 7.2 + -2.4x + 2x2 = 2x(0.6 + x) 7.2 + -2.4x + 2x2 = (0.6 * 2x + x * 2x) 7.2 + -2.4x + 2x2 = (1.2x + 2x2) Add '-2x2' to each side of the equation. 7.2 + -2.4x + 2x2 + -2x2 = 1.2x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 7.2 + -2.4x + 0 = 1.2x + 2x2 + -2x2 7.2 + -2.4x = 1.2x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 7.2 + -2.4x = 1.2x + 0 7.2 + -2.4x = 1.2x Solving 7.2 + -2.4x = 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 7.2 + -2.4x + -1.2x = 1.2x + -1.2x Combine like terms: -2.4x + -1.2x = -3.6x 7.2 + -3.6x = 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 7.2 + -3.6x = 0.0 Add '-7.2' to each side of the equation. 7.2 + -7.2 + -3.6x = 0.0 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + -3.6x = 0.0 + -7.2 -3.6x = 0.0 + -7.2 Combine like terms: 0.0 + -7.2 = -7.2 -3.6x = -7.2 Divide each side by '-3.6'. x = 2 Simplifying x = 2
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