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Simplifying 1(x + -27) + 3(x + 3) = x + -3 Reorder the terms: 1(-27 + x) + 3(x + 3) = x + -3 (-27 * 1 + x * 1) + 3(x + 3) = x + -3 (-27 + 1x) + 3(x + 3) = x + -3 Reorder the terms: -27 + 1x + 3(3 + x) = x + -3 -27 + 1x + (3 * 3 + x * 3) = x + -3 -27 + 1x + (9 + 3x) = x + -3 Reorder the terms: -27 + 9 + 1x + 3x = x + -3 Combine like terms: -27 + 9 = -18 -18 + 1x + 3x = x + -3 Combine like terms: 1x + 3x = 4x -18 + 4x = x + -3 Reorder the terms: -18 + 4x = -3 + x Solving -18 + 4x = -3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -18 + 4x + -1x = -3 + x + -1x Combine like terms: 4x + -1x = 3x -18 + 3x = -3 + x + -1x Combine like terms: x + -1x = 0 -18 + 3x = -3 + 0 -18 + 3x = -3 Add '18' to each side of the equation. -18 + 18 + 3x = -3 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = -3 + 18 3x = -3 + 18 Combine like terms: -3 + 18 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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