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Simplifying 14 + -4(x + 6) = 130 + -5(x + -3) Reorder the terms: 14 + -4(6 + x) = 130 + -5(x + -3) 14 + (6 * -4 + x * -4) = 130 + -5(x + -3) 14 + (-24 + -4x) = 130 + -5(x + -3) Combine like terms: 14 + -24 = -10 -10 + -4x = 130 + -5(x + -3) Reorder the terms: -10 + -4x = 130 + -5(-3 + x) -10 + -4x = 130 + (-3 * -5 + x * -5) -10 + -4x = 130 + (15 + -5x) Combine like terms: 130 + 15 = 145 -10 + -4x = 145 + -5x Solving -10 + -4x = 145 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -10 + -4x + 5x = 145 + -5x + 5x Combine like terms: -4x + 5x = 1x -10 + 1x = 145 + -5x + 5x Combine like terms: -5x + 5x = 0 -10 + 1x = 145 + 0 -10 + 1x = 145 Add '10' to each side of the equation. -10 + 10 + 1x = 145 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 145 + 10 1x = 145 + 10 Combine like terms: 145 + 10 = 155 1x = 155 Divide each side by '1'. x = 155 Simplifying x = 155
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