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Simplifying 3 + -2(x + -4) + 5x = 3(x + -2) + 4x Reorder the terms: 3 + -2(-4 + x) + 5x = 3(x + -2) + 4x 3 + (-4 * -2 + x * -2) + 5x = 3(x + -2) + 4x 3 + (8 + -2x) + 5x = 3(x + -2) + 4x Combine like terms: 3 + 8 = 11 11 + -2x + 5x = 3(x + -2) + 4x Combine like terms: -2x + 5x = 3x 11 + 3x = 3(x + -2) + 4x Reorder the terms: 11 + 3x = 3(-2 + x) + 4x 11 + 3x = (-2 * 3 + x * 3) + 4x 11 + 3x = (-6 + 3x) + 4x Combine like terms: 3x + 4x = 7x 11 + 3x = -6 + 7x Solving 11 + 3x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 11 + 3x + -7x = -6 + 7x + -7x Combine like terms: 3x + -7x = -4x 11 + -4x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + -4x = -6 + 0 11 + -4x = -6 Add '-11' to each side of the equation. 11 + -11 + -4x = -6 + -11 Combine like terms: 11 + -11 = 0 0 + -4x = -6 + -11 -4x = -6 + -11 Combine like terms: -6 + -11 = -17 -4x = -17 Divide each side by '-4'. x = 4.25 Simplifying x = 4.25
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