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Simplifying -3(2x + 1) + 2 = 4(x + 5) Reorder the terms: -3(1 + 2x) + 2 = 4(x + 5) (1 * -3 + 2x * -3) + 2 = 4(x + 5) (-3 + -6x) + 2 = 4(x + 5) Reorder the terms: -3 + 2 + -6x = 4(x + 5) Combine like terms: -3 + 2 = -1 -1 + -6x = 4(x + 5) Reorder the terms: -1 + -6x = 4(5 + x) -1 + -6x = (5 * 4 + x * 4) -1 + -6x = (20 + 4x) Solving -1 + -6x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + -6x + -4x = 20 + 4x + -4x Combine like terms: -6x + -4x = -10x -1 + -10x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -10x = 20 + 0 -1 + -10x = 20 Add '1' to each side of the equation. -1 + 1 + -10x = 20 + 1 Combine like terms: -1 + 1 = 0 0 + -10x = 20 + 1 -10x = 20 + 1 Combine like terms: 20 + 1 = 21 -10x = 21 Divide each side by '-10'. x = -2.1 Simplifying x = -2.1
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