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Simplifying 4(x + -3) = 46 + -6(3 + x) Reorder the terms: 4(-3 + x) = 46 + -6(3 + x) (-3 * 4 + x * 4) = 46 + -6(3 + x) (-12 + 4x) = 46 + -6(3 + x) -12 + 4x = 46 + (3 * -6 + x * -6) -12 + 4x = 46 + (-18 + -6x) Combine like terms: 46 + -18 = 28 -12 + 4x = 28 + -6x Solving -12 + 4x = 28 + -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. -12 + 4x + 6x = 28 + -6x + 6x Combine like terms: 4x + 6x = 10x -12 + 10x = 28 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 10x = 28 + 0 -12 + 10x = 28 Add '12' to each side of the equation. -12 + 12 + 10x = 28 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 28 + 12 10x = 28 + 12 Combine like terms: 28 + 12 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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