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Simplifying 5(x + -7) + 2 = 4(x + -6) + 3x Reorder the terms: 5(-7 + x) + 2 = 4(x + -6) + 3x (-7 * 5 + x * 5) + 2 = 4(x + -6) + 3x (-35 + 5x) + 2 = 4(x + -6) + 3x Reorder the terms: -35 + 2 + 5x = 4(x + -6) + 3x Combine like terms: -35 + 2 = -33 -33 + 5x = 4(x + -6) + 3x Reorder the terms: -33 + 5x = 4(-6 + x) + 3x -33 + 5x = (-6 * 4 + x * 4) + 3x -33 + 5x = (-24 + 4x) + 3x Combine like terms: 4x + 3x = 7x -33 + 5x = -24 + 7x Solving -33 + 5x = -24 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -33 + 5x + -7x = -24 + 7x + -7x Combine like terms: 5x + -7x = -2x -33 + -2x = -24 + 7x + -7x Combine like terms: 7x + -7x = 0 -33 + -2x = -24 + 0 -33 + -2x = -24 Add '33' to each side of the equation. -33 + 33 + -2x = -24 + 33 Combine like terms: -33 + 33 = 0 0 + -2x = -24 + 33 -2x = -24 + 33 Combine like terms: -24 + 33 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5
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