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Simplifying -5(3x + -21) = 2(x + -6) + -53 Reorder the terms: -5(-21 + 3x) = 2(x + -6) + -53 (-21 * -5 + 3x * -5) = 2(x + -6) + -53 (105 + -15x) = 2(x + -6) + -53 Reorder the terms: 105 + -15x = 2(-6 + x) + -53 105 + -15x = (-6 * 2 + x * 2) + -53 105 + -15x = (-12 + 2x) + -53 Reorder the terms: 105 + -15x = -12 + -53 + 2x Combine like terms: -12 + -53 = -65 105 + -15x = -65 + 2x Solving 105 + -15x = -65 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 105 + -15x + -2x = -65 + 2x + -2x Combine like terms: -15x + -2x = -17x 105 + -17x = -65 + 2x + -2x Combine like terms: 2x + -2x = 0 105 + -17x = -65 + 0 105 + -17x = -65 Add '-105' to each side of the equation. 105 + -105 + -17x = -65 + -105 Combine like terms: 105 + -105 = 0 0 + -17x = -65 + -105 -17x = -65 + -105 Combine like terms: -65 + -105 = -170 -17x = -170 Divide each side by '-17'. x = 10 Simplifying x = 10
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