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Simplifying 6(2x + 1) + 3x = 8(2x + -3) + -1 Reorder the terms: 6(1 + 2x) + 3x = 8(2x + -3) + -1 (1 * 6 + 2x * 6) + 3x = 8(2x + -3) + -1 (6 + 12x) + 3x = 8(2x + -3) + -1 Combine like terms: 12x + 3x = 15x 6 + 15x = 8(2x + -3) + -1 Reorder the terms: 6 + 15x = 8(-3 + 2x) + -1 6 + 15x = (-3 * 8 + 2x * 8) + -1 6 + 15x = (-24 + 16x) + -1 Reorder the terms: 6 + 15x = -24 + -1 + 16x Combine like terms: -24 + -1 = -25 6 + 15x = -25 + 16x Solving 6 + 15x = -25 + 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. 6 + 15x + -16x = -25 + 16x + -16x Combine like terms: 15x + -16x = -1x 6 + -1x = -25 + 16x + -16x Combine like terms: 16x + -16x = 0 6 + -1x = -25 + 0 6 + -1x = -25 Add '-6' to each side of the equation. 6 + -6 + -1x = -25 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -25 + -6 -1x = -25 + -6 Combine like terms: -25 + -6 = -31 -1x = -31 Divide each side by '-1'. x = 31 Simplifying x = 31
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