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Simplifying 2(x + -10) + -3(x + -21) = 4x + -62 Reorder the terms: 2(-10 + x) + -3(x + -21) = 4x + -62 (-10 * 2 + x * 2) + -3(x + -21) = 4x + -62 (-20 + 2x) + -3(x + -21) = 4x + -62 Reorder the terms: -20 + 2x + -3(-21 + x) = 4x + -62 -20 + 2x + (-21 * -3 + x * -3) = 4x + -62 -20 + 2x + (63 + -3x) = 4x + -62 Reorder the terms: -20 + 63 + 2x + -3x = 4x + -62 Combine like terms: -20 + 63 = 43 43 + 2x + -3x = 4x + -62 Combine like terms: 2x + -3x = -1x 43 + -1x = 4x + -62 Reorder the terms: 43 + -1x = -62 + 4x Solving 43 + -1x = -62 + 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. 43 + -1x + -4x = -62 + 4x + -4x Combine like terms: -1x + -4x = -5x 43 + -5x = -62 + 4x + -4x Combine like terms: 4x + -4x = 0 43 + -5x = -62 + 0 43 + -5x = -62 Add '-43' to each side of the equation. 43 + -43 + -5x = -62 + -43 Combine like terms: 43 + -43 = 0 0 + -5x = -62 + -43 -5x = -62 + -43 Combine like terms: -62 + -43 = -105 -5x = -105 Divide each side by '-5'. x = 21 Simplifying x = 21
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