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Simplifying 8(3x + -1) * 2 + 3 = -14(3x + -1) Reorder the terms: 8(-1 + 3x) * 2 + 3 = -14(3x + -1) Reorder the terms for easier multiplication: 8 * 2(-1 + 3x) + 3 = -14(3x + -1) Multiply 8 * 2 16(-1 + 3x) + 3 = -14(3x + -1) (-1 * 16 + 3x * 16) + 3 = -14(3x + -1) (-16 + 48x) + 3 = -14(3x + -1) Reorder the terms: -16 + 3 + 48x = -14(3x + -1) Combine like terms: -16 + 3 = -13 -13 + 48x = -14(3x + -1) Reorder the terms: -13 + 48x = -14(-1 + 3x) -13 + 48x = (-1 * -14 + 3x * -14) -13 + 48x = (14 + -42x) Solving -13 + 48x = 14 + -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. -13 + 48x + 42x = 14 + -42x + 42x Combine like terms: 48x + 42x = 90x -13 + 90x = 14 + -42x + 42x Combine like terms: -42x + 42x = 0 -13 + 90x = 14 + 0 -13 + 90x = 14 Add '13' to each side of the equation. -13 + 13 + 90x = 14 + 13 Combine like terms: -13 + 13 = 0 0 + 90x = 14 + 13 90x = 14 + 13 Combine like terms: 14 + 13 = 27 90x = 27 Divide each side by '90'. x = 0.3 Simplifying x = 0.3
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