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Simplifying 6(x + -4) + 5 = 1 + -2(x + 3) Reorder the terms: 6(-4 + x) + 5 = 1 + -2(x + 3) (-4 * 6 + x * 6) + 5 = 1 + -2(x + 3) (-24 + 6x) + 5 = 1 + -2(x + 3) Reorder the terms: -24 + 5 + 6x = 1 + -2(x + 3) Combine like terms: -24 + 5 = -19 -19 + 6x = 1 + -2(x + 3) Reorder the terms: -19 + 6x = 1 + -2(3 + x) -19 + 6x = 1 + (3 * -2 + x * -2) -19 + 6x = 1 + (-6 + -2x) Combine like terms: 1 + -6 = -5 -19 + 6x = -5 + -2x Solving -19 + 6x = -5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -19 + 6x + 2x = -5 + -2x + 2x Combine like terms: 6x + 2x = 8x -19 + 8x = -5 + -2x + 2x Combine like terms: -2x + 2x = 0 -19 + 8x = -5 + 0 -19 + 8x = -5 Add '19' to each side of the equation. -19 + 19 + 8x = -5 + 19 Combine like terms: -19 + 19 = 0 0 + 8x = -5 + 19 8x = -5 + 19 Combine like terms: -5 + 19 = 14 8x = 14 Divide each side by '8'. x = 1.75 Simplifying x = 1.75
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