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Simplifying 10 + -5x = -2 + 3(x + -7) Reorder the terms: 10 + -5x = -2 + 3(-7 + x) 10 + -5x = -2 + (-7 * 3 + x * 3) 10 + -5x = -2 + (-21 + 3x) Combine like terms: -2 + -21 = -23 10 + -5x = -23 + 3x Solving 10 + -5x = -23 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + -5x + -3x = -23 + 3x + -3x Combine like terms: -5x + -3x = -8x 10 + -8x = -23 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -8x = -23 + 0 10 + -8x = -23 Add '-10' to each side of the equation. 10 + -10 + -8x = -23 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = -23 + -10 -8x = -23 + -10 Combine like terms: -23 + -10 = -33 -8x = -33 Divide each side by '-8'. x = 4.125 Simplifying x = 4.125
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