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Simplifying 3x + 10 = 4(x + -5) + 10 Reorder the terms: 10 + 3x = 4(x + -5) + 10 Reorder the terms: 10 + 3x = 4(-5 + x) + 10 10 + 3x = (-5 * 4 + x * 4) + 10 10 + 3x = (-20 + 4x) + 10 Reorder the terms: 10 + 3x = -20 + 10 + 4x Combine like terms: -20 + 10 = -10 10 + 3x = -10 + 4x Solving 10 + 3x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + 3x + -4x = -10 + 4x + -4x Combine like terms: 3x + -4x = -1x 10 + -1x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -1x = -10 + 0 10 + -1x = -10 Add '-10' to each side of the equation. 10 + -10 + -1x = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = -10 + -10 -1x = -10 + -10 Combine like terms: -10 + -10 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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