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Simplifying 6(2x + -10) + -3 = 6(x + -3) + (3) Reorder the terms: 6(-10 + 2x) + -3 = 6(x + -3) + (3) (-10 * 6 + 2x * 6) + -3 = 6(x + -3) + (3) (-60 + 12x) + -3 = 6(x + -3) + (3) Reorder the terms: -60 + -3 + 12x = 6(x + -3) + (3) Combine like terms: -60 + -3 = -63 -63 + 12x = 6(x + -3) + (3) Reorder the terms: -63 + 12x = 6(-3 + x) + (3) -63 + 12x = (-3 * 6 + x * 6) + (3) -63 + 12x = (-18 + 6x) + (3) -63 + 12x = -18 + 6x + 3 Reorder the terms: -63 + 12x = -18 + 3 + 6x Combine like terms: -18 + 3 = -15 -63 + 12x = -15 + 6x Solving -63 + 12x = -15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -63 + 12x + -6x = -15 + 6x + -6x Combine like terms: 12x + -6x = 6x -63 + 6x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 -63 + 6x = -15 + 0 -63 + 6x = -15 Add '63' to each side of the equation. -63 + 63 + 6x = -15 + 63 Combine like terms: -63 + 63 = 0 0 + 6x = -15 + 63 6x = -15 + 63 Combine like terms: -15 + 63 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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