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Simplifying 6(3x + 1) + -5 = -2(-8x + 1) + 3 Reorder the terms: 6(1 + 3x) + -5 = -2(-8x + 1) + 3 (1 * 6 + 3x * 6) + -5 = -2(-8x + 1) + 3 (6 + 18x) + -5 = -2(-8x + 1) + 3 Reorder the terms: 6 + -5 + 18x = -2(-8x + 1) + 3 Combine like terms: 6 + -5 = 1 1 + 18x = -2(-8x + 1) + 3 Reorder the terms: 1 + 18x = -2(1 + -8x) + 3 1 + 18x = (1 * -2 + -8x * -2) + 3 1 + 18x = (-2 + 16x) + 3 Reorder the terms: 1 + 18x = -2 + 3 + 16x Combine like terms: -2 + 3 = 1 1 + 18x = 1 + 16x Add '-1' to each side of the equation. 1 + -1 + 18x = 1 + -1 + 16x Combine like terms: 1 + -1 = 0 0 + 18x = 1 + -1 + 16x 18x = 1 + -1 + 16x Combine like terms: 1 + -1 = 0 18x = 0 + 16x 18x = 16x Solving 18x = 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 18x + -16x = 16x + -16x Combine like terms: 18x + -16x = 2x 2x = 16x + -16x Combine like terms: 16x + -16x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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