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Simplifying -4(x + 2) + 3 = 6(x + 2) + 2 Reorder the terms: -4(2 + x) + 3 = 6(x + 2) + 2 (2 * -4 + x * -4) + 3 = 6(x + 2) + 2 (-8 + -4x) + 3 = 6(x + 2) + 2 Reorder the terms: -8 + 3 + -4x = 6(x + 2) + 2 Combine like terms: -8 + 3 = -5 -5 + -4x = 6(x + 2) + 2 Reorder the terms: -5 + -4x = 6(2 + x) + 2 -5 + -4x = (2 * 6 + x * 6) + 2 -5 + -4x = (12 + 6x) + 2 Reorder the terms: -5 + -4x = 12 + 2 + 6x Combine like terms: 12 + 2 = 14 -5 + -4x = 14 + 6x Solving -5 + -4x = 14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + -4x + -6x = 14 + 6x + -6x Combine like terms: -4x + -6x = -10x -5 + -10x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -10x = 14 + 0 -5 + -10x = 14 Add '5' to each side of the equation. -5 + 5 + -10x = 14 + 5 Combine like terms: -5 + 5 = 0 0 + -10x = 14 + 5 -10x = 14 + 5 Combine like terms: 14 + 5 = 19 -10x = 19 Divide each side by '-10'. x = -1.9 Simplifying x = -1.9
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