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Simplifying 5(x + -2) + -6 = -3(x + -4) Reorder the terms: 5(-2 + x) + -6 = -3(x + -4) (-2 * 5 + x * 5) + -6 = -3(x + -4) (-10 + 5x) + -6 = -3(x + -4) Reorder the terms: -10 + -6 + 5x = -3(x + -4) Combine like terms: -10 + -6 = -16 -16 + 5x = -3(x + -4) Reorder the terms: -16 + 5x = -3(-4 + x) -16 + 5x = (-4 * -3 + x * -3) -16 + 5x = (12 + -3x) Solving -16 + 5x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -16 + 5x + 3x = 12 + -3x + 3x Combine like terms: 5x + 3x = 8x -16 + 8x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -16 + 8x = 12 + 0 -16 + 8x = 12 Add '16' to each side of the equation. -16 + 16 + 8x = 12 + 16 Combine like terms: -16 + 16 = 0 0 + 8x = 12 + 16 8x = 12 + 16 Combine like terms: 12 + 16 = 28 8x = 28 Divide each side by '8'. x = 3.5 Simplifying x = 3.5
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