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Simplifying 4(12x + -38) = 3 + -2(x + 5) Reorder the terms: 4(-38 + 12x) = 3 + -2(x + 5) (-38 * 4 + 12x * 4) = 3 + -2(x + 5) (-152 + 48x) = 3 + -2(x + 5) Reorder the terms: -152 + 48x = 3 + -2(5 + x) -152 + 48x = 3 + (5 * -2 + x * -2) -152 + 48x = 3 + (-10 + -2x) Combine like terms: 3 + -10 = -7 -152 + 48x = -7 + -2x Solving -152 + 48x = -7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -152 + 48x + 2x = -7 + -2x + 2x Combine like terms: 48x + 2x = 50x -152 + 50x = -7 + -2x + 2x Combine like terms: -2x + 2x = 0 -152 + 50x = -7 + 0 -152 + 50x = -7 Add '152' to each side of the equation. -152 + 152 + 50x = -7 + 152 Combine like terms: -152 + 152 = 0 0 + 50x = -7 + 152 50x = -7 + 152 Combine like terms: -7 + 152 = 145 50x = 145 Divide each side by '50'. x = 2.9 Simplifying x = 2.9
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