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Simplifying 1(x + -27) + 3(x + 3) = 9x + -153 Reorder the terms: 1(-27 + x) + 3(x + 3) = 9x + -153 (-27 * 1 + x * 1) + 3(x + 3) = 9x + -153 (-27 + 1x) + 3(x + 3) = 9x + -153 Reorder the terms: -27 + 1x + 3(3 + x) = 9x + -153 -27 + 1x + (3 * 3 + x * 3) = 9x + -153 -27 + 1x + (9 + 3x) = 9x + -153 Reorder the terms: -27 + 9 + 1x + 3x = 9x + -153 Combine like terms: -27 + 9 = -18 -18 + 1x + 3x = 9x + -153 Combine like terms: 1x + 3x = 4x -18 + 4x = 9x + -153 Reorder the terms: -18 + 4x = -153 + 9x Solving -18 + 4x = -153 + 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. -18 + 4x + -9x = -153 + 9x + -9x Combine like terms: 4x + -9x = -5x -18 + -5x = -153 + 9x + -9x Combine like terms: 9x + -9x = 0 -18 + -5x = -153 + 0 -18 + -5x = -153 Add '18' to each side of the equation. -18 + 18 + -5x = -153 + 18 Combine like terms: -18 + 18 = 0 0 + -5x = -153 + 18 -5x = -153 + 18 Combine like terms: -153 + 18 = -135 -5x = -135 Divide each side by '-5'. x = 27 Simplifying x = 27
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