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Simplifying 2(3x + -5) + -3(5x + 2) = x + 14 Reorder the terms: 2(-5 + 3x) + -3(5x + 2) = x + 14 (-5 * 2 + 3x * 2) + -3(5x + 2) = x + 14 (-10 + 6x) + -3(5x + 2) = x + 14 Reorder the terms: -10 + 6x + -3(2 + 5x) = x + 14 -10 + 6x + (2 * -3 + 5x * -3) = x + 14 -10 + 6x + (-6 + -15x) = x + 14 Reorder the terms: -10 + -6 + 6x + -15x = x + 14 Combine like terms: -10 + -6 = -16 -16 + 6x + -15x = x + 14 Combine like terms: 6x + -15x = -9x -16 + -9x = x + 14 Reorder the terms: -16 + -9x = 14 + x Solving -16 + -9x = 14 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -16 + -9x + -1x = 14 + x + -1x Combine like terms: -9x + -1x = -10x -16 + -10x = 14 + x + -1x Combine like terms: x + -1x = 0 -16 + -10x = 14 + 0 -16 + -10x = 14 Add '16' to each side of the equation. -16 + 16 + -10x = 14 + 16 Combine like terms: -16 + 16 = 0 0 + -10x = 14 + 16 -10x = 14 + 16 Combine like terms: 14 + 16 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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