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Simplifying 2x + 5 + -4[x + 3] = -3[x + -3] Reorder the terms: 2x + 5 + -4[3 + x] = -3[x + -3] 2x + 5 + [3 * -4 + x * -4] = -3[x + -3] 2x + 5 + [-12 + -4x] = -3[x + -3] Reorder the terms: 5 + -12 + 2x + -4x = -3[x + -3] Combine like terms: 5 + -12 = -7 -7 + 2x + -4x = -3[x + -3] Combine like terms: 2x + -4x = -2x -7 + -2x = -3[x + -3] Reorder the terms: -7 + -2x = -3[-3 + x] -7 + -2x = [-3 * -3 + x * -3] -7 + -2x = [9 + -3x] Solving -7 + -2x = 9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -7 + -2x + 3x = 9 + -3x + 3x Combine like terms: -2x + 3x = 1x -7 + 1x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 1x = 9 + 0 -7 + 1x = 9 Add '7' to each side of the equation. -7 + 7 + 1x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 9 + 7 1x = 9 + 7 Combine like terms: 9 + 7 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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