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Simplifying 5(x + -3) + 2x = 2(x + -4) + 14x Reorder the terms: 5(-3 + x) + 2x = 2(x + -4) + 14x (-3 * 5 + x * 5) + 2x = 2(x + -4) + 14x (-15 + 5x) + 2x = 2(x + -4) + 14x Combine like terms: 5x + 2x = 7x -15 + 7x = 2(x + -4) + 14x Reorder the terms: -15 + 7x = 2(-4 + x) + 14x -15 + 7x = (-4 * 2 + x * 2) + 14x -15 + 7x = (-8 + 2x) + 14x Combine like terms: 2x + 14x = 16x -15 + 7x = -8 + 16x Solving -15 + 7x = -8 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -15 + 7x + -16x = -8 + 16x + -16x Combine like terms: 7x + -16x = -9x -15 + -9x = -8 + 16x + -16x Combine like terms: 16x + -16x = 0 -15 + -9x = -8 + 0 -15 + -9x = -8 Add '15' to each side of the equation. -15 + 15 + -9x = -8 + 15 Combine like terms: -15 + 15 = 0 0 + -9x = -8 + 15 -9x = -8 + 15 Combine like terms: -8 + 15 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778
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