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Simplifying 6x + 5 + -2x = 3x + 4(2x + -3) Reorder the terms: 5 + 6x + -2x = 3x + 4(2x + -3) Combine like terms: 6x + -2x = 4x 5 + 4x = 3x + 4(2x + -3) Reorder the terms: 5 + 4x = 3x + 4(-3 + 2x) 5 + 4x = 3x + (-3 * 4 + 2x * 4) 5 + 4x = 3x + (-12 + 8x) Reorder the terms: 5 + 4x = -12 + 3x + 8x Combine like terms: 3x + 8x = 11x 5 + 4x = -12 + 11x Solving 5 + 4x = -12 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 5 + 4x + -11x = -12 + 11x + -11x Combine like terms: 4x + -11x = -7x 5 + -7x = -12 + 11x + -11x Combine like terms: 11x + -11x = 0 5 + -7x = -12 + 0 5 + -7x = -12 Add '-5' to each side of the equation. 5 + -5 + -7x = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = -12 + -5 -7x = -12 + -5 Combine like terms: -12 + -5 = -17 -7x = -17 Divide each side by '-7'. x = 2.428571429 Simplifying x = 2.428571429
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