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Simplifying 3(x + -5) + 4(7 + 2x) + -6x = 3 Reorder the terms: 3(-5 + x) + 4(7 + 2x) + -6x = 3 (-5 * 3 + x * 3) + 4(7 + 2x) + -6x = 3 (-15 + 3x) + 4(7 + 2x) + -6x = 3 -15 + 3x + (7 * 4 + 2x * 4) + -6x = 3 -15 + 3x + (28 + 8x) + -6x = 3 Reorder the terms: -15 + 28 + 3x + 8x + -6x = 3 Combine like terms: -15 + 28 = 13 13 + 3x + 8x + -6x = 3 Combine like terms: 3x + 8x = 11x 13 + 11x + -6x = 3 Combine like terms: 11x + -6x = 5x 13 + 5x = 3 Solving 13 + 5x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 5x = 3 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = 3 + -13 5x = 3 + -13 Combine like terms: 3 + -13 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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