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Simplifying 3(3x + -15) = 19(x + -15) Reorder the terms: 3(-15 + 3x) = 19(x + -15) (-15 * 3 + 3x * 3) = 19(x + -15) (-45 + 9x) = 19(x + -15) Reorder the terms: -45 + 9x = 19(-15 + x) -45 + 9x = (-15 * 19 + x * 19) -45 + 9x = (-285 + 19x) Solving -45 + 9x = -285 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -45 + 9x + -19x = -285 + 19x + -19x Combine like terms: 9x + -19x = -10x -45 + -10x = -285 + 19x + -19x Combine like terms: 19x + -19x = 0 -45 + -10x = -285 + 0 -45 + -10x = -285 Add '45' to each side of the equation. -45 + 45 + -10x = -285 + 45 Combine like terms: -45 + 45 = 0 0 + -10x = -285 + 45 -10x = -285 + 45 Combine like terms: -285 + 45 = -240 -10x = -240 Divide each side by '-10'. x = 24 Simplifying x = 24
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