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Simplifying 4x + -7x + 10 = -1x + -24 Reorder the terms: 10 + 4x + -7x = -1x + -24 Combine like terms: 4x + -7x = -3x 10 + -3x = -1x + -24 Reorder the terms: 10 + -3x = -24 + -1x Solving 10 + -3x = -24 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + -3x + x = -24 + -1x + x Combine like terms: -3x + x = -2x 10 + -2x = -24 + -1x + x Combine like terms: -1x + x = 0 10 + -2x = -24 + 0 10 + -2x = -24 Add '-10' to each side of the equation. 10 + -10 + -2x = -24 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -24 + -10 -2x = -24 + -10 Combine like terms: -24 + -10 = -34 -2x = -34 Divide each side by '-2'. x = 17 Simplifying x = 17
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