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Simplifying 2(x + -10) + -3(x + -14) = 4x + -53 Reorder the terms: 2(-10 + x) + -3(x + -14) = 4x + -53 (-10 * 2 + x * 2) + -3(x + -14) = 4x + -53 (-20 + 2x) + -3(x + -14) = 4x + -53 Reorder the terms: -20 + 2x + -3(-14 + x) = 4x + -53 -20 + 2x + (-14 * -3 + x * -3) = 4x + -53 -20 + 2x + (42 + -3x) = 4x + -53 Reorder the terms: -20 + 42 + 2x + -3x = 4x + -53 Combine like terms: -20 + 42 = 22 22 + 2x + -3x = 4x + -53 Combine like terms: 2x + -3x = -1x 22 + -1x = 4x + -53 Reorder the terms: 22 + -1x = -53 + 4x Solving 22 + -1x = -53 + 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. 22 + -1x + -4x = -53 + 4x + -4x Combine like terms: -1x + -4x = -5x 22 + -5x = -53 + 4x + -4x Combine like terms: 4x + -4x = 0 22 + -5x = -53 + 0 22 + -5x = -53 Add '-22' to each side of the equation. 22 + -22 + -5x = -53 + -22 Combine like terms: 22 + -22 = 0 0 + -5x = -53 + -22 -5x = -53 + -22 Combine like terms: -53 + -22 = -75 -5x = -75 Divide each side by '-5'. x = 15 Simplifying x = 15
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