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Simplifying 7 + -3(2x + 5) = 6(3x + -5) + 10 Reorder the terms: 7 + -3(5 + 2x) = 6(3x + -5) + 10 7 + (5 * -3 + 2x * -3) = 6(3x + -5) + 10 7 + (-15 + -6x) = 6(3x + -5) + 10 Combine like terms: 7 + -15 = -8 -8 + -6x = 6(3x + -5) + 10 Reorder the terms: -8 + -6x = 6(-5 + 3x) + 10 -8 + -6x = (-5 * 6 + 3x * 6) + 10 -8 + -6x = (-30 + 18x) + 10 Reorder the terms: -8 + -6x = -30 + 10 + 18x Combine like terms: -30 + 10 = -20 -8 + -6x = -20 + 18x Solving -8 + -6x = -20 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -8 + -6x + -18x = -20 + 18x + -18x Combine like terms: -6x + -18x = -24x -8 + -24x = -20 + 18x + -18x Combine like terms: 18x + -18x = 0 -8 + -24x = -20 + 0 -8 + -24x = -20 Add '8' to each side of the equation. -8 + 8 + -24x = -20 + 8 Combine like terms: -8 + 8 = 0 0 + -24x = -20 + 8 -24x = -20 + 8 Combine like terms: -20 + 8 = -12 -24x = -12 Divide each side by '-24'. x = 0.5 Simplifying x = 0.5
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