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Simplifying 3(2x + -15) = 4(4x + 1) Reorder the terms: 3(-15 + 2x) = 4(4x + 1) (-15 * 3 + 2x * 3) = 4(4x + 1) (-45 + 6x) = 4(4x + 1) Reorder the terms: -45 + 6x = 4(1 + 4x) -45 + 6x = (1 * 4 + 4x * 4) -45 + 6x = (4 + 16x) Solving -45 + 6x = 4 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -45 + 6x + -16x = 4 + 16x + -16x Combine like terms: 6x + -16x = -10x -45 + -10x = 4 + 16x + -16x Combine like terms: 16x + -16x = 0 -45 + -10x = 4 + 0 -45 + -10x = 4 Add '45' to each side of the equation. -45 + 45 + -10x = 4 + 45 Combine like terms: -45 + 45 = 0 0 + -10x = 4 + 45 -10x = 4 + 45 Combine like terms: 4 + 45 = 49 -10x = 49 Divide each side by '-10'. x = -4.9 Simplifying x = -4.9
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