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Simplifying 4(x + 3) + -9x = 2(x + 14) Reorder the terms: 4(3 + x) + -9x = 2(x + 14) (3 * 4 + x * 4) + -9x = 2(x + 14) (12 + 4x) + -9x = 2(x + 14) Combine like terms: 4x + -9x = -5x 12 + -5x = 2(x + 14) Reorder the terms: 12 + -5x = 2(14 + x) 12 + -5x = (14 * 2 + x * 2) 12 + -5x = (28 + 2x) Solving 12 + -5x = 28 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + -5x + -2x = 28 + 2x + -2x Combine like terms: -5x + -2x = -7x 12 + -7x = 28 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -7x = 28 + 0 12 + -7x = 28 Add '-12' to each side of the equation. 12 + -12 + -7x = 28 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = 28 + -12 -7x = 28 + -12 Combine like terms: 28 + -12 = 16 -7x = 16 Divide each side by '-7'. x = -2.285714286 Simplifying x = -2.285714286
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