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Simplifying 2(x + 7) + -5x = 4(x + 2) + 3x Reorder the terms: 2(7 + x) + -5x = 4(x + 2) + 3x (7 * 2 + x * 2) + -5x = 4(x + 2) + 3x (14 + 2x) + -5x = 4(x + 2) + 3x Combine like terms: 2x + -5x = -3x 14 + -3x = 4(x + 2) + 3x Reorder the terms: 14 + -3x = 4(2 + x) + 3x 14 + -3x = (2 * 4 + x * 4) + 3x 14 + -3x = (8 + 4x) + 3x Combine like terms: 4x + 3x = 7x 14 + -3x = 8 + 7x Solving 14 + -3x = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 14 + -3x + -7x = 8 + 7x + -7x Combine like terms: -3x + -7x = -10x 14 + -10x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + -10x = 8 + 0 14 + -10x = 8 Add '-14' to each side of the equation. 14 + -14 + -10x = 8 + -14 Combine like terms: 14 + -14 = 0 0 + -10x = 8 + -14 -10x = 8 + -14 Combine like terms: 8 + -14 = -6 -10x = -6 Divide each side by '-10'. x = 0.6 Simplifying x = 0.6
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