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Simplifying 5(2x + -5) + -2(3x + -14) = 6x + -7 Reorder the terms: 5(-5 + 2x) + -2(3x + -14) = 6x + -7 (-5 * 5 + 2x * 5) + -2(3x + -14) = 6x + -7 (-25 + 10x) + -2(3x + -14) = 6x + -7 Reorder the terms: -25 + 10x + -2(-14 + 3x) = 6x + -7 -25 + 10x + (-14 * -2 + 3x * -2) = 6x + -7 -25 + 10x + (28 + -6x) = 6x + -7 Reorder the terms: -25 + 28 + 10x + -6x = 6x + -7 Combine like terms: -25 + 28 = 3 3 + 10x + -6x = 6x + -7 Combine like terms: 10x + -6x = 4x 3 + 4x = 6x + -7 Reorder the terms: 3 + 4x = -7 + 6x Solving 3 + 4x = -7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3 + 4x + -6x = -7 + 6x + -6x Combine like terms: 4x + -6x = -2x 3 + -2x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -2x = -7 + 0 3 + -2x = -7 Add '-3' to each side of the equation. 3 + -3 + -2x = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = -7 + -3 -2x = -7 + -3 Combine like terms: -7 + -3 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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