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Simplifying 9(2x + -7) + -3 = 9(x + -4) + 6 Reorder the terms: 9(-7 + 2x) + -3 = 9(x + -4) + 6 (-7 * 9 + 2x * 9) + -3 = 9(x + -4) + 6 (-63 + 18x) + -3 = 9(x + -4) + 6 Reorder the terms: -63 + -3 + 18x = 9(x + -4) + 6 Combine like terms: -63 + -3 = -66 -66 + 18x = 9(x + -4) + 6 Reorder the terms: -66 + 18x = 9(-4 + x) + 6 -66 + 18x = (-4 * 9 + x * 9) + 6 -66 + 18x = (-36 + 9x) + 6 Reorder the terms: -66 + 18x = -36 + 6 + 9x Combine like terms: -36 + 6 = -30 -66 + 18x = -30 + 9x Solving -66 + 18x = -30 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -66 + 18x + -9x = -30 + 9x + -9x Combine like terms: 18x + -9x = 9x -66 + 9x = -30 + 9x + -9x Combine like terms: 9x + -9x = 0 -66 + 9x = -30 + 0 -66 + 9x = -30 Add '66' to each side of the equation. -66 + 66 + 9x = -30 + 66 Combine like terms: -66 + 66 = 0 0 + 9x = -30 + 66 9x = -30 + 66 Combine like terms: -30 + 66 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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