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Simplifying 6(x + -3) = 3(15x + -1x) Reorder the terms: 6(-3 + x) = 3(15x + -1x) (-3 * 6 + x * 6) = 3(15x + -1x) (-18 + 6x) = 3(15x + -1x) Combine like terms: 15x + -1x = 14x -18 + 6x = 3(14x) Remove parenthesis around (14x) -18 + 6x = 3 * 14x Multiply 3 * 14 -18 + 6x = 42x Solving -18 + 6x = 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -18 + 6x + -42x = 42x + -42x Combine like terms: 6x + -42x = -36x -18 + -36x = 42x + -42x Combine like terms: 42x + -42x = 0 -18 + -36x = 0 Add '18' to each side of the equation. -18 + 18 + -36x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -36x = 0 + 18 -36x = 0 + 18 Combine like terms: 0 + 18 = 18 -36x = 18 Divide each side by '-36'. x = -0.5 Simplifying x = -0.5
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