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Simplifying 4(x + -4) = -6(x + 1) + 46 Reorder the terms: 4(-4 + x) = -6(x + 1) + 46 (-4 * 4 + x * 4) = -6(x + 1) + 46 (-16 + 4x) = -6(x + 1) + 46 Reorder the terms: -16 + 4x = -6(1 + x) + 46 -16 + 4x = (1 * -6 + x * -6) + 46 -16 + 4x = (-6 + -6x) + 46 Reorder the terms: -16 + 4x = -6 + 46 + -6x Combine like terms: -6 + 46 = 40 -16 + 4x = 40 + -6x Solving -16 + 4x = 40 + -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. -16 + 4x + 6x = 40 + -6x + 6x Combine like terms: 4x + 6x = 10x -16 + 10x = 40 + -6x + 6x Combine like terms: -6x + 6x = 0 -16 + 10x = 40 + 0 -16 + 10x = 40 Add '16' to each side of the equation. -16 + 16 + 10x = 40 + 16 Combine like terms: -16 + 16 = 0 0 + 10x = 40 + 16 10x = 40 + 16 Combine like terms: 40 + 16 = 56 10x = 56 Divide each side by '10'. x = 5.6 Simplifying x = 5.6
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