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Simplifying -7(x + 4) + 37 = 3(x + -2) Reorder the terms: -7(4 + x) + 37 = 3(x + -2) (4 * -7 + x * -7) + 37 = 3(x + -2) (-28 + -7x) + 37 = 3(x + -2) Reorder the terms: -28 + 37 + -7x = 3(x + -2) Combine like terms: -28 + 37 = 9 9 + -7x = 3(x + -2) Reorder the terms: 9 + -7x = 3(-2 + x) 9 + -7x = (-2 * 3 + x * 3) 9 + -7x = (-6 + 3x) Solving 9 + -7x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 9 + -7x + -3x = -6 + 3x + -3x Combine like terms: -7x + -3x = -10x 9 + -10x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + -10x = -6 + 0 9 + -10x = -6 Add '-9' to each side of the equation. 9 + -9 + -10x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -10x = -6 + -9 -10x = -6 + -9 Combine like terms: -6 + -9 = -15 -10x = -15 Divide each side by '-10'. x = 1.5 Simplifying x = 1.5
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