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Simplifying 6x + -20 = 8(3x + -17) Reorder the terms: -20 + 6x = 8(3x + -17) Reorder the terms: -20 + 6x = 8(-17 + 3x) -20 + 6x = (-17 * 8 + 3x * 8) -20 + 6x = (-136 + 24x) Solving -20 + 6x = -136 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -20 + 6x + -24x = -136 + 24x + -24x Combine like terms: 6x + -24x = -18x -20 + -18x = -136 + 24x + -24x Combine like terms: 24x + -24x = 0 -20 + -18x = -136 + 0 -20 + -18x = -136 Add '20' to each side of the equation. -20 + 20 + -18x = -136 + 20 Combine like terms: -20 + 20 = 0 0 + -18x = -136 + 20 -18x = -136 + 20 Combine like terms: -136 + 20 = -116 -18x = -116 Divide each side by '-18'. x = 6.444444444 Simplifying x = 6.444444444
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