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Simplifying -4(x + 2) + 6 = 6(x + 4) + 3 Reorder the terms: -4(2 + x) + 6 = 6(x + 4) + 3 (2 * -4 + x * -4) + 6 = 6(x + 4) + 3 (-8 + -4x) + 6 = 6(x + 4) + 3 Reorder the terms: -8 + 6 + -4x = 6(x + 4) + 3 Combine like terms: -8 + 6 = -2 -2 + -4x = 6(x + 4) + 3 Reorder the terms: -2 + -4x = 6(4 + x) + 3 -2 + -4x = (4 * 6 + x * 6) + 3 -2 + -4x = (24 + 6x) + 3 Reorder the terms: -2 + -4x = 24 + 3 + 6x Combine like terms: 24 + 3 = 27 -2 + -4x = 27 + 6x Solving -2 + -4x = 27 + 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. -2 + -4x + -6x = 27 + 6x + -6x Combine like terms: -4x + -6x = -10x -2 + -10x = 27 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -10x = 27 + 0 -2 + -10x = 27 Add '2' to each side of the equation. -2 + 2 + -10x = 27 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = 27 + 2 -10x = 27 + 2 Combine like terms: 27 + 2 = 29 -10x = 29 Divide each side by '-10'. x = -2.9 Simplifying x = -2.9
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