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Simplifying 3x + -7 + 4(x + 3) = 5x + 3 + -2(x + -3) + -10 Reorder the terms: 3x + -7 + 4(3 + x) = 5x + 3 + -2(x + -3) + -10 3x + -7 + (3 * 4 + x * 4) = 5x + 3 + -2(x + -3) + -10 3x + -7 + (12 + 4x) = 5x + 3 + -2(x + -3) + -10 Reorder the terms: -7 + 12 + 3x + 4x = 5x + 3 + -2(x + -3) + -10 Combine like terms: -7 + 12 = 5 5 + 3x + 4x = 5x + 3 + -2(x + -3) + -10 Combine like terms: 3x + 4x = 7x 5 + 7x = 5x + 3 + -2(x + -3) + -10 Reorder the terms: 5 + 7x = 5x + 3 + -2(-3 + x) + -10 5 + 7x = 5x + 3 + (-3 * -2 + x * -2) + -10 5 + 7x = 5x + 3 + (6 + -2x) + -10 Reorder the terms: 5 + 7x = 3 + 6 + -10 + 5x + -2x Combine like terms: 3 + 6 = 9 5 + 7x = 9 + -10 + 5x + -2x Combine like terms: 9 + -10 = -1 5 + 7x = -1 + 5x + -2x Combine like terms: 5x + -2x = 3x 5 + 7x = -1 + 3x Solving 5 + 7x = -1 + 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. 5 + 7x + -3x = -1 + 3x + -3x Combine like terms: 7x + -3x = 4x 5 + 4x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 4x = -1 + 0 5 + 4x = -1 Add '-5' to each side of the equation. 5 + -5 + 4x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = -1 + -5 4x = -1 + -5 Combine like terms: -1 + -5 = -6 4x = -6 Divide each side by '4'. x = -1.5 Simplifying x = -1.5
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