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Simplifying 6(4x + -9) + -4 = 6(x + -4) + 56 Reorder the terms: 6(-9 + 4x) + -4 = 6(x + -4) + 56 (-9 * 6 + 4x * 6) + -4 = 6(x + -4) + 56 (-54 + 24x) + -4 = 6(x + -4) + 56 Reorder the terms: -54 + -4 + 24x = 6(x + -4) + 56 Combine like terms: -54 + -4 = -58 -58 + 24x = 6(x + -4) + 56 Reorder the terms: -58 + 24x = 6(-4 + x) + 56 -58 + 24x = (-4 * 6 + x * 6) + 56 -58 + 24x = (-24 + 6x) + 56 Reorder the terms: -58 + 24x = -24 + 56 + 6x Combine like terms: -24 + 56 = 32 -58 + 24x = 32 + 6x Solving -58 + 24x = 32 + 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. -58 + 24x + -6x = 32 + 6x + -6x Combine like terms: 24x + -6x = 18x -58 + 18x = 32 + 6x + -6x Combine like terms: 6x + -6x = 0 -58 + 18x = 32 + 0 -58 + 18x = 32 Add '58' to each side of the equation. -58 + 58 + 18x = 32 + 58 Combine like terms: -58 + 58 = 0 0 + 18x = 32 + 58 18x = 32 + 58 Combine like terms: 32 + 58 = 90 18x = 90 Divide each side by '18'. x = 5 Simplifying x = 5
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