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Simplifying 4(-6x + 8) + -7(8 + -6x) = 9 + 19x Reorder the terms: 4(8 + -6x) + -7(8 + -6x) = 9 + 19x (8 * 4 + -6x * 4) + -7(8 + -6x) = 9 + 19x (32 + -24x) + -7(8 + -6x) = 9 + 19x 32 + -24x + (8 * -7 + -6x * -7) = 9 + 19x 32 + -24x + (-56 + 42x) = 9 + 19x Reorder the terms: 32 + -56 + -24x + 42x = 9 + 19x Combine like terms: 32 + -56 = -24 -24 + -24x + 42x = 9 + 19x Combine like terms: -24x + 42x = 18x -24 + 18x = 9 + 19x Solving -24 + 18x = 9 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -24 + 18x + -19x = 9 + 19x + -19x Combine like terms: 18x + -19x = -1x -24 + -1x = 9 + 19x + -19x Combine like terms: 19x + -19x = 0 -24 + -1x = 9 + 0 -24 + -1x = 9 Add '24' to each side of the equation. -24 + 24 + -1x = 9 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = 9 + 24 -1x = 9 + 24 Combine like terms: 9 + 24 = 33 -1x = 33 Divide each side by '-1'. x = -33 Simplifying x = -33
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