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Simplifying 6(6x + -2) + 15(-3 + 3x) = -10(7 + -2x) Reorder the terms: 6(-2 + 6x) + 15(-3 + 3x) = -10(7 + -2x) (-2 * 6 + 6x * 6) + 15(-3 + 3x) = -10(7 + -2x) (-12 + 36x) + 15(-3 + 3x) = -10(7 + -2x) -12 + 36x + (-3 * 15 + 3x * 15) = -10(7 + -2x) -12 + 36x + (-45 + 45x) = -10(7 + -2x) Reorder the terms: -12 + -45 + 36x + 45x = -10(7 + -2x) Combine like terms: -12 + -45 = -57 -57 + 36x + 45x = -10(7 + -2x) Combine like terms: 36x + 45x = 81x -57 + 81x = -10(7 + -2x) -57 + 81x = (7 * -10 + -2x * -10) -57 + 81x = (-70 + 20x) Solving -57 + 81x = -70 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -57 + 81x + -20x = -70 + 20x + -20x Combine like terms: 81x + -20x = 61x -57 + 61x = -70 + 20x + -20x Combine like terms: 20x + -20x = 0 -57 + 61x = -70 + 0 -57 + 61x = -70 Add '57' to each side of the equation. -57 + 57 + 61x = -70 + 57 Combine like terms: -57 + 57 = 0 0 + 61x = -70 + 57 61x = -70 + 57 Combine like terms: -70 + 57 = -13 61x = -13 Divide each side by '61'. x = -0.2131147541 Simplifying x = -0.2131147541
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