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Simplifying -4(x + 6) + 5 = 6(x + 3) + 1 Reorder the terms: -4(6 + x) + 5 = 6(x + 3) + 1 (6 * -4 + x * -4) + 5 = 6(x + 3) + 1 (-24 + -4x) + 5 = 6(x + 3) + 1 Reorder the terms: -24 + 5 + -4x = 6(x + 3) + 1 Combine like terms: -24 + 5 = -19 -19 + -4x = 6(x + 3) + 1 Reorder the terms: -19 + -4x = 6(3 + x) + 1 -19 + -4x = (3 * 6 + x * 6) + 1 -19 + -4x = (18 + 6x) + 1 Reorder the terms: -19 + -4x = 18 + 1 + 6x Combine like terms: 18 + 1 = 19 -19 + -4x = 19 + 6x Solving -19 + -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. -19 + -4x + -6x = 19 + 6x + -6x Combine like terms: -4x + -6x = -10x -19 + -10x = 19 + 6x + -6x Combine like terms: 6x + -6x = 0 -19 + -10x = 19 + 0 -19 + -10x = 19 Add '19' to each side of the equation. -19 + 19 + -10x = 19 + 19 Combine like terms: -19 + 19 = 0 0 + -10x = 19 + 19 -10x = 19 + 19 Combine like terms: 19 + 19 = 38 -10x = 38 Divide each side by '-10'. x = -3.8 Simplifying x = -3.8
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