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Simplifying 4(x + -33) + 7(x + 1) = 6(x + -3) + 7 Reorder the terms: 4(-33 + x) + 7(x + 1) = 6(x + -3) + 7 (-33 * 4 + x * 4) + 7(x + 1) = 6(x + -3) + 7 (-132 + 4x) + 7(x + 1) = 6(x + -3) + 7 Reorder the terms: -132 + 4x + 7(1 + x) = 6(x + -3) + 7 -132 + 4x + (1 * 7 + x * 7) = 6(x + -3) + 7 -132 + 4x + (7 + 7x) = 6(x + -3) + 7 Reorder the terms: -132 + 7 + 4x + 7x = 6(x + -3) + 7 Combine like terms: -132 + 7 = -125 -125 + 4x + 7x = 6(x + -3) + 7 Combine like terms: 4x + 7x = 11x -125 + 11x = 6(x + -3) + 7 Reorder the terms: -125 + 11x = 6(-3 + x) + 7 -125 + 11x = (-3 * 6 + x * 6) + 7 -125 + 11x = (-18 + 6x) + 7 Reorder the terms: -125 + 11x = -18 + 7 + 6x Combine like terms: -18 + 7 = -11 -125 + 11x = -11 + 6x Solving -125 + 11x = -11 + 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. -125 + 11x + -6x = -11 + 6x + -6x Combine like terms: 11x + -6x = 5x -125 + 5x = -11 + 6x + -6x Combine like terms: 6x + -6x = 0 -125 + 5x = -11 + 0 -125 + 5x = -11 Add '125' to each side of the equation. -125 + 125 + 5x = -11 + 125 Combine like terms: -125 + 125 = 0 0 + 5x = -11 + 125 5x = -11 + 125 Combine like terms: -11 + 125 = 114 5x = 114 Divide each side by '5'. x = 22.8 Simplifying x = 22.8
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