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Simplifying -4(x + 4) + 6 = 6(x + 2) + 7 Reorder the terms: -4(4 + x) + 6 = 6(x + 2) + 7 (4 * -4 + x * -4) + 6 = 6(x + 2) + 7 (-16 + -4x) + 6 = 6(x + 2) + 7 Reorder the terms: -16 + 6 + -4x = 6(x + 2) + 7 Combine like terms: -16 + 6 = -10 -10 + -4x = 6(x + 2) + 7 Reorder the terms: -10 + -4x = 6(2 + x) + 7 -10 + -4x = (2 * 6 + x * 6) + 7 -10 + -4x = (12 + 6x) + 7 Reorder the terms: -10 + -4x = 12 + 7 + 6x Combine like terms: 12 + 7 = 19 -10 + -4x = 19 + 6x Solving -10 + -4x = 19 + 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. -10 + -4x + -6x = 19 + 6x + -6x Combine like terms: -4x + -6x = -10x -10 + -10x = 19 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -10x = 19 + 0 -10 + -10x = 19 Add '10' to each side of the equation. -10 + 10 + -10x = 19 + 10 Combine like terms: -10 + 10 = 0 0 + -10x = 19 + 10 -10x = 19 + 10 Combine like terms: 19 + 10 = 29 -10x = 29 Divide each side by '-10'. x = -2.9 Simplifying x = -2.9
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