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Simplifying 5(-4x + 2) + -1(x + -3) = 4(6x + -5) + 16x Reorder the terms: 5(2 + -4x) + -1(x + -3) = 4(6x + -5) + 16x (2 * 5 + -4x * 5) + -1(x + -3) = 4(6x + -5) + 16x (10 + -20x) + -1(x + -3) = 4(6x + -5) + 16x Reorder the terms: 10 + -20x + -1(-3 + x) = 4(6x + -5) + 16x 10 + -20x + (-3 * -1 + x * -1) = 4(6x + -5) + 16x 10 + -20x + (3 + -1x) = 4(6x + -5) + 16x Reorder the terms: 10 + 3 + -20x + -1x = 4(6x + -5) + 16x Combine like terms: 10 + 3 = 13 13 + -20x + -1x = 4(6x + -5) + 16x Combine like terms: -20x + -1x = -21x 13 + -21x = 4(6x + -5) + 16x Reorder the terms: 13 + -21x = 4(-5 + 6x) + 16x 13 + -21x = (-5 * 4 + 6x * 4) + 16x 13 + -21x = (-20 + 24x) + 16x Combine like terms: 24x + 16x = 40x 13 + -21x = -20 + 40x Solving 13 + -21x = -20 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 13 + -21x + -40x = -20 + 40x + -40x Combine like terms: -21x + -40x = -61x 13 + -61x = -20 + 40x + -40x Combine like terms: 40x + -40x = 0 13 + -61x = -20 + 0 13 + -61x = -20 Add '-13' to each side of the equation. 13 + -13 + -61x = -20 + -13 Combine like terms: 13 + -13 = 0 0 + -61x = -20 + -13 -61x = -20 + -13 Combine like terms: -20 + -13 = -33 -61x = -33 Divide each side by '-61'. x = 0.5409836066 Simplifying x = 0.5409836066
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