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Simplifying 2(2x + -5) = 3(x + -5) + 4(2x + -3) Reorder the terms: 2(-5 + 2x) = 3(x + -5) + 4(2x + -3) (-5 * 2 + 2x * 2) = 3(x + -5) + 4(2x + -3) (-10 + 4x) = 3(x + -5) + 4(2x + -3) Reorder the terms: -10 + 4x = 3(-5 + x) + 4(2x + -3) -10 + 4x = (-5 * 3 + x * 3) + 4(2x + -3) -10 + 4x = (-15 + 3x) + 4(2x + -3) Reorder the terms: -10 + 4x = -15 + 3x + 4(-3 + 2x) -10 + 4x = -15 + 3x + (-3 * 4 + 2x * 4) -10 + 4x = -15 + 3x + (-12 + 8x) Reorder the terms: -10 + 4x = -15 + -12 + 3x + 8x Combine like terms: -15 + -12 = -27 -10 + 4x = -27 + 3x + 8x Combine like terms: 3x + 8x = 11x -10 + 4x = -27 + 11x Solving -10 + 4x = -27 + 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. -10 + 4x + -11x = -27 + 11x + -11x Combine like terms: 4x + -11x = -7x -10 + -7x = -27 + 11x + -11x Combine like terms: 11x + -11x = 0 -10 + -7x = -27 + 0 -10 + -7x = -27 Add '10' to each side of the equation. -10 + 10 + -7x = -27 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = -27 + 10 -7x = -27 + 10 Combine like terms: -27 + 10 = -17 -7x = -17 Divide each side by '-7'. x = 2.428571429 Simplifying x = 2.428571429
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