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Simplifying 7 + 3(x + -4) = 3[7 + -5(x + 3)] Reorder the terms: 7 + 3(-4 + x) = 3[7 + -5(x + 3)] 7 + (-4 * 3 + x * 3) = 3[7 + -5(x + 3)] 7 + (-12 + 3x) = 3[7 + -5(x + 3)] Combine like terms: 7 + -12 = -5 -5 + 3x = 3[7 + -5(x + 3)] Reorder the terms: -5 + 3x = 3[7 + -5(3 + x)] -5 + 3x = 3[7 + (3 * -5 + x * -5)] -5 + 3x = 3[7 + (-15 + -5x)] Combine like terms: 7 + -15 = -8 -5 + 3x = 3[-8 + -5x] -5 + 3x = [-8 * 3 + -5x * 3] -5 + 3x = [-24 + -15x] Solving -5 + 3x = -24 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -5 + 3x + 15x = -24 + -15x + 15x Combine like terms: 3x + 15x = 18x -5 + 18x = -24 + -15x + 15x Combine like terms: -15x + 15x = 0 -5 + 18x = -24 + 0 -5 + 18x = -24 Add '5' to each side of the equation. -5 + 5 + 18x = -24 + 5 Combine like terms: -5 + 5 = 0 0 + 18x = -24 + 5 18x = -24 + 5 Combine like terms: -24 + 5 = -19 18x = -19 Divide each side by '18'. x = -1.055555556 Simplifying x = -1.055555556
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