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Simplifying 6x(x + -3) + 20 = 8 + -3x(5 + -2x) Reorder the terms: 6x(-3 + x) + 20 = 8 + -3x(5 + -2x) (-3 * 6x + x * 6x) + 20 = 8 + -3x(5 + -2x) (-18x + 6x2) + 20 = 8 + -3x(5 + -2x) Reorder the terms: 20 + -18x + 6x2 = 8 + -3x(5 + -2x) 20 + -18x + 6x2 = 8 + (5 * -3x + -2x * -3x) 20 + -18x + 6x2 = 8 + (-15x + 6x2) Add '-6x2' to each side of the equation. 20 + -18x + 6x2 + -6x2 = 8 + -15x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 20 + -18x + 0 = 8 + -15x + 6x2 + -6x2 20 + -18x = 8 + -15x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 20 + -18x = 8 + -15x + 0 20 + -18x = 8 + -15x Solving 20 + -18x = 8 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 20 + -18x + 15x = 8 + -15x + 15x Combine like terms: -18x + 15x = -3x 20 + -3x = 8 + -15x + 15x Combine like terms: -15x + 15x = 0 20 + -3x = 8 + 0 20 + -3x = 8 Add '-20' to each side of the equation. 20 + -20 + -3x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -3x = 8 + -20 -3x = 8 + -20 Combine like terms: 8 + -20 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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