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Simplifying 4x + 0.3x + 5(5 + -2x) = 15x + 16 + -2(3x + 1) 4x + 0.3x + (5 * 5 + -2x * 5) = 15x + 16 + -2(3x + 1) 4x + 0.3x + (25 + -10x) = 15x + 16 + -2(3x + 1) Reorder the terms: 25 + 4x + 0.3x + -10x = 15x + 16 + -2(3x + 1) Combine like terms: 4x + 0.3x = 4.3x 25 + 4.3x + -10x = 15x + 16 + -2(3x + 1) Combine like terms: 4.3x + -10x = -5.7x 25 + -5.7x = 15x + 16 + -2(3x + 1) Reorder the terms: 25 + -5.7x = 15x + 16 + -2(1 + 3x) 25 + -5.7x = 15x + 16 + (1 * -2 + 3x * -2) 25 + -5.7x = 15x + 16 + (-2 + -6x) Reorder the terms: 25 + -5.7x = 16 + -2 + 15x + -6x Combine like terms: 16 + -2 = 14 25 + -5.7x = 14 + 15x + -6x Combine like terms: 15x + -6x = 9x 25 + -5.7x = 14 + 9x Solving 25 + -5.7x = 14 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 25 + -5.7x + -9x = 14 + 9x + -9x Combine like terms: -5.7x + -9x = -14.7x 25 + -14.7x = 14 + 9x + -9x Combine like terms: 9x + -9x = 0 25 + -14.7x = 14 + 0 25 + -14.7x = 14 Add '-25' to each side of the equation. 25 + -25 + -14.7x = 14 + -25 Combine like terms: 25 + -25 = 0 0 + -14.7x = 14 + -25 -14.7x = 14 + -25 Combine like terms: 14 + -25 = -11 -14.7x = -11 Divide each side by '-14.7'. x = 0.7482993197 Simplifying x = 0.7482993197
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