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Simplifying 3(x + -5) + 5 = 14(4x + -5) + 7(x + -5) Reorder the terms: 3(-5 + x) + 5 = 14(4x + -5) + 7(x + -5) (-5 * 3 + x * 3) + 5 = 14(4x + -5) + 7(x + -5) (-15 + 3x) + 5 = 14(4x + -5) + 7(x + -5) Reorder the terms: -15 + 5 + 3x = 14(4x + -5) + 7(x + -5) Combine like terms: -15 + 5 = -10 -10 + 3x = 14(4x + -5) + 7(x + -5) Reorder the terms: -10 + 3x = 14(-5 + 4x) + 7(x + -5) -10 + 3x = (-5 * 14 + 4x * 14) + 7(x + -5) -10 + 3x = (-70 + 56x) + 7(x + -5) Reorder the terms: -10 + 3x = -70 + 56x + 7(-5 + x) -10 + 3x = -70 + 56x + (-5 * 7 + x * 7) -10 + 3x = -70 + 56x + (-35 + 7x) Reorder the terms: -10 + 3x = -70 + -35 + 56x + 7x Combine like terms: -70 + -35 = -105 -10 + 3x = -105 + 56x + 7x Combine like terms: 56x + 7x = 63x -10 + 3x = -105 + 63x Solving -10 + 3x = -105 + 63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63x' to each side of the equation. -10 + 3x + -63x = -105 + 63x + -63x Combine like terms: 3x + -63x = -60x -10 + -60x = -105 + 63x + -63x Combine like terms: 63x + -63x = 0 -10 + -60x = -105 + 0 -10 + -60x = -105 Add '10' to each side of the equation. -10 + 10 + -60x = -105 + 10 Combine like terms: -10 + 10 = 0 0 + -60x = -105 + 10 -60x = -105 + 10 Combine like terms: -105 + 10 = -95 -60x = -95 Divide each side by '-60'. x = 1.583333333 Simplifying x = 1.583333333
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