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Simplifying 6(x + -3) + -4(x + -2) = 37 + -3(x + 4) Reorder the terms: 6(-3 + x) + -4(x + -2) = 37 + -3(x + 4) (-3 * 6 + x * 6) + -4(x + -2) = 37 + -3(x + 4) (-18 + 6x) + -4(x + -2) = 37 + -3(x + 4) Reorder the terms: -18 + 6x + -4(-2 + x) = 37 + -3(x + 4) -18 + 6x + (-2 * -4 + x * -4) = 37 + -3(x + 4) -18 + 6x + (8 + -4x) = 37 + -3(x + 4) Reorder the terms: -18 + 8 + 6x + -4x = 37 + -3(x + 4) Combine like terms: -18 + 8 = -10 -10 + 6x + -4x = 37 + -3(x + 4) Combine like terms: 6x + -4x = 2x -10 + 2x = 37 + -3(x + 4) Reorder the terms: -10 + 2x = 37 + -3(4 + x) -10 + 2x = 37 + (4 * -3 + x * -3) -10 + 2x = 37 + (-12 + -3x) Combine like terms: 37 + -12 = 25 -10 + 2x = 25 + -3x Solving -10 + 2x = 25 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -10 + 2x + 3x = 25 + -3x + 3x Combine like terms: 2x + 3x = 5x -10 + 5x = 25 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 5x = 25 + 0 -10 + 5x = 25 Add '10' to each side of the equation. -10 + 10 + 5x = 25 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 25 + 10 5x = 25 + 10 Combine like terms: 25 + 10 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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