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Simplifying 6x + -34 = 8(3x + -2) Reorder the terms: -34 + 6x = 8(3x + -2) Reorder the terms: -34 + 6x = 8(-2 + 3x) -34 + 6x = (-2 * 8 + 3x * 8) -34 + 6x = (-16 + 24x) Solving -34 + 6x = -16 + 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. -34 + 6x + -24x = -16 + 24x + -24x Combine like terms: 6x + -24x = -18x -34 + -18x = -16 + 24x + -24x Combine like terms: 24x + -24x = 0 -34 + -18x = -16 + 0 -34 + -18x = -16 Add '34' to each side of the equation. -34 + 34 + -18x = -16 + 34 Combine like terms: -34 + 34 = 0 0 + -18x = -16 + 34 -18x = -16 + 34 Combine like terms: -16 + 34 = 18 -18x = 18 Divide each side by '-18'. x = -1 Simplifying x = -1
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