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Simplifying 3(5x) + -12(2x + -3) = 18(x) Remove parenthesis around (5x) 3 * 5x + -12(2x + -3) = 18(x) Multiply 3 * 5 15x + -12(2x + -3) = 18(x) Reorder the terms: 15x + -12(-3 + 2x) = 18(x) 15x + (-3 * -12 + 2x * -12) = 18(x) 15x + (36 + -24x) = 18(x) Reorder the terms: 36 + 15x + -24x = 18(x) Combine like terms: 15x + -24x = -9x 36 + -9x = 18(x) Solving 36 + -9x = 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. 36 + -9x + -18x = 18x + -18x Combine like terms: -9x + -18x = -27x 36 + -27x = 18x + -18x Combine like terms: 18x + -18x = 0 36 + -27x = 0 Add '-36' to each side of the equation. 36 + -36 + -27x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -27x = 0 + -36 -27x = 0 + -36 Combine like terms: 0 + -36 = -36 -27x = -36 Divide each side by '-27'. x = 1.333333333 Simplifying x = 1.333333333
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