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Simplifying -30(17x + 4) = -6(-2x + 542) Reorder the terms: -30(4 + 17x) = -6(-2x + 542) (4 * -30 + 17x * -30) = -6(-2x + 542) (-120 + -510x) = -6(-2x + 542) Reorder the terms: -120 + -510x = -6(542 + -2x) -120 + -510x = (542 * -6 + -2x * -6) -120 + -510x = (-3252 + 12x) Solving -120 + -510x = -3252 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -120 + -510x + -12x = -3252 + 12x + -12x Combine like terms: -510x + -12x = -522x -120 + -522x = -3252 + 12x + -12x Combine like terms: 12x + -12x = 0 -120 + -522x = -3252 + 0 -120 + -522x = -3252 Add '120' to each side of the equation. -120 + 120 + -522x = -3252 + 120 Combine like terms: -120 + 120 = 0 0 + -522x = -3252 + 120 -522x = -3252 + 120 Combine like terms: -3252 + 120 = -3132 -522x = -3132 Divide each side by '-522'. x = 6 Simplifying x = 6
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