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Simplifying 2(x + -5) + -5 = 6(-4x + 1) + -7x Reorder the terms: 2(-5 + x) + -5 = 6(-4x + 1) + -7x (-5 * 2 + x * 2) + -5 = 6(-4x + 1) + -7x (-10 + 2x) + -5 = 6(-4x + 1) + -7x Reorder the terms: -10 + -5 + 2x = 6(-4x + 1) + -7x Combine like terms: -10 + -5 = -15 -15 + 2x = 6(-4x + 1) + -7x Reorder the terms: -15 + 2x = 6(1 + -4x) + -7x -15 + 2x = (1 * 6 + -4x * 6) + -7x -15 + 2x = (6 + -24x) + -7x Combine like terms: -24x + -7x = -31x -15 + 2x = 6 + -31x Solving -15 + 2x = 6 + -31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31x' to each side of the equation. -15 + 2x + 31x = 6 + -31x + 31x Combine like terms: 2x + 31x = 33x -15 + 33x = 6 + -31x + 31x Combine like terms: -31x + 31x = 0 -15 + 33x = 6 + 0 -15 + 33x = 6 Add '15' to each side of the equation. -15 + 15 + 33x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 33x = 6 + 15 33x = 6 + 15 Combine like terms: 6 + 15 = 21 33x = 21 Divide each side by '33'. x = 0.6363636364 Simplifying x = 0.6363636364
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