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Simplifying -6(-4x + -9) + 4 = -2(-9x + -8) Reorder the terms: -6(-9 + -4x) + 4 = -2(-9x + -8) (-9 * -6 + -4x * -6) + 4 = -2(-9x + -8) (54 + 24x) + 4 = -2(-9x + -8) Reorder the terms: 54 + 4 + 24x = -2(-9x + -8) Combine like terms: 54 + 4 = 58 58 + 24x = -2(-9x + -8) Reorder the terms: 58 + 24x = -2(-8 + -9x) 58 + 24x = (-8 * -2 + -9x * -2) 58 + 24x = (16 + 18x) Solving 58 + 24x = 16 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 58 + 24x + -18x = 16 + 18x + -18x Combine like terms: 24x + -18x = 6x 58 + 6x = 16 + 18x + -18x Combine like terms: 18x + -18x = 0 58 + 6x = 16 + 0 58 + 6x = 16 Add '-58' to each side of the equation. 58 + -58 + 6x = 16 + -58 Combine like terms: 58 + -58 = 0 0 + 6x = 16 + -58 6x = 16 + -58 Combine like terms: 16 + -58 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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