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Simplifying 10 + 4x = 3(x + -7) + 8 Reorder the terms: 10 + 4x = 3(-7 + x) + 8 10 + 4x = (-7 * 3 + x * 3) + 8 10 + 4x = (-21 + 3x) + 8 Reorder the terms: 10 + 4x = -21 + 8 + 3x Combine like terms: -21 + 8 = -13 10 + 4x = -13 + 3x Solving 10 + 4x = -13 + 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 + 4x + -3x = -13 + 3x + -3x Combine like terms: 4x + -3x = 1x 10 + 1x = -13 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 1x = -13 + 0 10 + 1x = -13 Add '-10' to each side of the equation. 10 + -10 + 1x = -13 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = -13 + -10 1x = -13 + -10 Combine like terms: -13 + -10 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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