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Simplifying 4(6x + -5) + -5(3x + -19) = 2(4x + 3) + -3 Reorder the terms: 4(-5 + 6x) + -5(3x + -19) = 2(4x + 3) + -3 (-5 * 4 + 6x * 4) + -5(3x + -19) = 2(4x + 3) + -3 (-20 + 24x) + -5(3x + -19) = 2(4x + 3) + -3 Reorder the terms: -20 + 24x + -5(-19 + 3x) = 2(4x + 3) + -3 -20 + 24x + (-19 * -5 + 3x * -5) = 2(4x + 3) + -3 -20 + 24x + (95 + -15x) = 2(4x + 3) + -3 Reorder the terms: -20 + 95 + 24x + -15x = 2(4x + 3) + -3 Combine like terms: -20 + 95 = 75 75 + 24x + -15x = 2(4x + 3) + -3 Combine like terms: 24x + -15x = 9x 75 + 9x = 2(4x + 3) + -3 Reorder the terms: 75 + 9x = 2(3 + 4x) + -3 75 + 9x = (3 * 2 + 4x * 2) + -3 75 + 9x = (6 + 8x) + -3 Reorder the terms: 75 + 9x = 6 + -3 + 8x Combine like terms: 6 + -3 = 3 75 + 9x = 3 + 8x Solving 75 + 9x = 3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 75 + 9x + -8x = 3 + 8x + -8x Combine like terms: 9x + -8x = 1x 75 + 1x = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 75 + 1x = 3 + 0 75 + 1x = 3 Add '-75' to each side of the equation. 75 + -75 + 1x = 3 + -75 Combine like terms: 75 + -75 = 0 0 + 1x = 3 + -75 1x = 3 + -75 Combine like terms: 3 + -75 = -72 1x = -72 Divide each side by '1'. x = -72 Simplifying x = -72
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