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Simplifying x + -40 = 7(2x + 3) + -9 Reorder the terms: -40 + x = 7(2x + 3) + -9 Reorder the terms: -40 + x = 7(3 + 2x) + -9 -40 + x = (3 * 7 + 2x * 7) + -9 -40 + x = (21 + 14x) + -9 Reorder the terms: -40 + x = 21 + -9 + 14x Combine like terms: 21 + -9 = 12 -40 + x = 12 + 14x Solving -40 + x = 12 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -40 + x + -14x = 12 + 14x + -14x Combine like terms: x + -14x = -13x -40 + -13x = 12 + 14x + -14x Combine like terms: 14x + -14x = 0 -40 + -13x = 12 + 0 -40 + -13x = 12 Add '40' to each side of the equation. -40 + 40 + -13x = 12 + 40 Combine like terms: -40 + 40 = 0 0 + -13x = 12 + 40 -13x = 12 + 40 Combine like terms: 12 + 40 = 52 -13x = 52 Divide each side by '-13'. x = -4 Simplifying x = -4
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