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Simplifying 4(5x + -3) + 6(1 + -1x) = 3(x + -2) Reorder the terms: 4(-3 + 5x) + 6(1 + -1x) = 3(x + -2) (-3 * 4 + 5x * 4) + 6(1 + -1x) = 3(x + -2) (-12 + 20x) + 6(1 + -1x) = 3(x + -2) -12 + 20x + (1 * 6 + -1x * 6) = 3(x + -2) -12 + 20x + (6 + -6x) = 3(x + -2) Reorder the terms: -12 + 6 + 20x + -6x = 3(x + -2) Combine like terms: -12 + 6 = -6 -6 + 20x + -6x = 3(x + -2) Combine like terms: 20x + -6x = 14x -6 + 14x = 3(x + -2) Reorder the terms: -6 + 14x = 3(-2 + x) -6 + 14x = (-2 * 3 + x * 3) -6 + 14x = (-6 + 3x) Add '6' to each side of the equation. -6 + 6 + 14x = -6 + 6 + 3x Combine like terms: -6 + 6 = 0 0 + 14x = -6 + 6 + 3x 14x = -6 + 6 + 3x Combine like terms: -6 + 6 = 0 14x = 0 + 3x 14x = 3x Solving 14x = 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. 14x + -3x = 3x + -3x Combine like terms: 14x + -3x = 11x 11x = 3x + -3x Combine like terms: 3x + -3x = 0 11x = 0 Divide each side by '11'. x = 0 Simplifying x = 0
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