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Simplifying 14 + -4(x + -3) + -3(2x + -4) = 15 + -5x + -2 Reorder the terms: 14 + -4(-3 + x) + -3(2x + -4) = 15 + -5x + -2 14 + (-3 * -4 + x * -4) + -3(2x + -4) = 15 + -5x + -2 14 + (12 + -4x) + -3(2x + -4) = 15 + -5x + -2 Reorder the terms: 14 + 12 + -4x + -3(-4 + 2x) = 15 + -5x + -2 14 + 12 + -4x + (-4 * -3 + 2x * -3) = 15 + -5x + -2 14 + 12 + -4x + (12 + -6x) = 15 + -5x + -2 Reorder the terms: 14 + 12 + 12 + -4x + -6x = 15 + -5x + -2 Combine like terms: 14 + 12 = 26 26 + 12 + -4x + -6x = 15 + -5x + -2 Combine like terms: 26 + 12 = 38 38 + -4x + -6x = 15 + -5x + -2 Combine like terms: -4x + -6x = -10x 38 + -10x = 15 + -5x + -2 Reorder the terms: 38 + -10x = 15 + -2 + -5x Combine like terms: 15 + -2 = 13 38 + -10x = 13 + -5x Solving 38 + -10x = 13 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 38 + -10x + 5x = 13 + -5x + 5x Combine like terms: -10x + 5x = -5x 38 + -5x = 13 + -5x + 5x Combine like terms: -5x + 5x = 0 38 + -5x = 13 + 0 38 + -5x = 13 Add '-38' to each side of the equation. 38 + -38 + -5x = 13 + -38 Combine like terms: 38 + -38 = 0 0 + -5x = 13 + -38 -5x = 13 + -38 Combine like terms: 13 + -38 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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