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Simplifying 6(3x + -9) + -4 = 6(x + -2) + 38 Reorder the terms: 6(-9 + 3x) + -4 = 6(x + -2) + 38 (-9 * 6 + 3x * 6) + -4 = 6(x + -2) + 38 (-54 + 18x) + -4 = 6(x + -2) + 38 Reorder the terms: -54 + -4 + 18x = 6(x + -2) + 38 Combine like terms: -54 + -4 = -58 -58 + 18x = 6(x + -2) + 38 Reorder the terms: -58 + 18x = 6(-2 + x) + 38 -58 + 18x = (-2 * 6 + x * 6) + 38 -58 + 18x = (-12 + 6x) + 38 Reorder the terms: -58 + 18x = -12 + 38 + 6x Combine like terms: -12 + 38 = 26 -58 + 18x = 26 + 6x Solving -58 + 18x = 26 + 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 + 18x + -6x = 26 + 6x + -6x Combine like terms: 18x + -6x = 12x -58 + 12x = 26 + 6x + -6x Combine like terms: 6x + -6x = 0 -58 + 12x = 26 + 0 -58 + 12x = 26 Add '58' to each side of the equation. -58 + 58 + 12x = 26 + 58 Combine like terms: -58 + 58 = 0 0 + 12x = 26 + 58 12x = 26 + 58 Combine like terms: 26 + 58 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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