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Simplifying -4(x + -2) + 6(x + -4) = 6x + 3 + -7x Reorder the terms: -4(-2 + x) + 6(x + -4) = 6x + 3 + -7x (-2 * -4 + x * -4) + 6(x + -4) = 6x + 3 + -7x (8 + -4x) + 6(x + -4) = 6x + 3 + -7x Reorder the terms: 8 + -4x + 6(-4 + x) = 6x + 3 + -7x 8 + -4x + (-4 * 6 + x * 6) = 6x + 3 + -7x 8 + -4x + (-24 + 6x) = 6x + 3 + -7x Reorder the terms: 8 + -24 + -4x + 6x = 6x + 3 + -7x Combine like terms: 8 + -24 = -16 -16 + -4x + 6x = 6x + 3 + -7x Combine like terms: -4x + 6x = 2x -16 + 2x = 6x + 3 + -7x Reorder the terms: -16 + 2x = 3 + 6x + -7x Combine like terms: 6x + -7x = -1x -16 + 2x = 3 + -1x Solving -16 + 2x = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -16 + 2x + x = 3 + -1x + x Combine like terms: 2x + x = 3x -16 + 3x = 3 + -1x + x Combine like terms: -1x + x = 0 -16 + 3x = 3 + 0 -16 + 3x = 3 Add '16' to each side of the equation. -16 + 16 + 3x = 3 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = 3 + 16 3x = 3 + 16 Combine like terms: 3 + 16 = 19 3x = 19 Divide each side by '3'. x = 6.333333333 Simplifying x = 6.333333333
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