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Simplifying 6(x + -2) = -4(x + 1) + 10 Reorder the terms: 6(-2 + x) = -4(x + 1) + 10 (-2 * 6 + x * 6) = -4(x + 1) + 10 (-12 + 6x) = -4(x + 1) + 10 Reorder the terms: -12 + 6x = -4(1 + x) + 10 -12 + 6x = (1 * -4 + x * -4) + 10 -12 + 6x = (-4 + -4x) + 10 Reorder the terms: -12 + 6x = -4 + 10 + -4x Combine like terms: -4 + 10 = 6 -12 + 6x = 6 + -4x Solving -12 + 6x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -12 + 6x + 4x = 6 + -4x + 4x Combine like terms: 6x + 4x = 10x -12 + 10x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 10x = 6 + 0 -12 + 10x = 6 Add '12' to each side of the equation. -12 + 12 + 10x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 6 + 12 10x = 6 + 12 Combine like terms: 6 + 12 = 18 10x = 18 Divide each side by '10'. x = 1.8 Simplifying x = 1.8
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