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Simplifying 2(3x + -1) + 5 = 3(x + -2) + 5x + -1 Reorder the terms: 2(-1 + 3x) + 5 = 3(x + -2) + 5x + -1 (-1 * 2 + 3x * 2) + 5 = 3(x + -2) + 5x + -1 (-2 + 6x) + 5 = 3(x + -2) + 5x + -1 Reorder the terms: -2 + 5 + 6x = 3(x + -2) + 5x + -1 Combine like terms: -2 + 5 = 3 3 + 6x = 3(x + -2) + 5x + -1 Reorder the terms: 3 + 6x = 3(-2 + x) + 5x + -1 3 + 6x = (-2 * 3 + x * 3) + 5x + -1 3 + 6x = (-6 + 3x) + 5x + -1 Reorder the terms: 3 + 6x = -6 + -1 + 3x + 5x Combine like terms: -6 + -1 = -7 3 + 6x = -7 + 3x + 5x Combine like terms: 3x + 5x = 8x 3 + 6x = -7 + 8x Solving 3 + 6x = -7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3 + 6x + -8x = -7 + 8x + -8x Combine like terms: 6x + -8x = -2x 3 + -2x = -7 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -2x = -7 + 0 3 + -2x = -7 Add '-3' to each side of the equation. 3 + -3 + -2x = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = -7 + -3 -2x = -7 + -3 Combine like terms: -7 + -3 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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